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Finding the Fourth Proportional to 546,595.50, 820,031.64 and 386,984.14

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Solution

The fourth proportional to 546,595.50, 820,031.64 and 386,984.14 is: 580,574.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,595.50 : 820,031.64 = 386,984.14 : x
  2. Step 2: Convert to fraction form
    546,595.50/820,031.64 = 386,984.14/x
  3. Step 3: Cross multiply
    546,595.50x = 820,031.64 × 386,984.14
  4. Step 4: Simplify right side
    546,595.50x = 317,339,238,978.19
  5. Step 5: Solve for x
    x = 317,339,238,978.19/546,595.50
  6. Step 6: Final answer
    x = 580,574.19

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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.