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Finding the Fourth Proportional to 524,007.60, 786,011.40 and 419,031.60

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Solution

The fourth proportional to 524,007.60, 786,011.40 and 419,031.60 is: 628,547.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,007.60 : 786,011.40 = 419,031.60 : x
  2. Step 2: Convert to fraction form
    524,007.60/786,011.40 = 419,031.60/x
  3. Step 3: Cross multiply
    524,007.60x = 786,011.40 × 419,031.60
  4. Step 4: Simplify right side
    524,007.60x = 329,363,614,560.24
  5. Step 5: Solve for x
    x = 329,363,614,560.24/524,007.60
  6. Step 6: Final answer
    x = 628,547.40

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.