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Finding the Fourth Proportional to 524,051.10, 786,076.65 and 466,970.40

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Solution

The fourth proportional to 524,051.10, 786,076.65 and 466,970.40 is: 700,455.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,051.10 : 786,076.65 = 466,970.40 : x
  2. Step 2: Convert to fraction form
    524,051.10/786,076.65 = 466,970.40/x
  3. Step 3: Cross multiply
    524,051.10x = 786,076.65 × 466,970.40
  4. Step 4: Simplify right side
    524,051.10x = 367,074,527,681.16
  5. Step 5: Solve for x
    x = 367,074,527,681.16/524,051.10
  6. Step 6: Final answer
    x = 700,455.60

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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.