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Finding the Fourth Proportional to 514,221.28, 709,666.32 and 378,873.52

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Solution

The fourth proportional to 514,221.28, 709,666.32 and 378,873.52 is: 522,875.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,221.28 : 709,666.32 = 378,873.52 : x
  2. Step 2: Convert to fraction form
    514,221.28/709,666.32 = 378,873.52/x
  3. Step 3: Cross multiply
    514,221.28x = 709,666.32 × 378,873.52
  4. Step 4: Simplify right side
    514,221.28x = 268,873,776,683.85
  5. Step 5: Solve for x
    x = 268,873,776,683.85/514,221.28
  6. Step 6: Final answer
    x = 522,875.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.