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Finding the Fourth Proportional to 514,977.50, 710,710.80 and 285,557.60

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Solution

The fourth proportional to 514,977.50, 710,710.80 and 285,557.60 is: 394,092.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,977.50 : 710,710.80 = 285,557.60 : x
  2. Step 2: Convert to fraction form
    514,977.50/710,710.80 = 285,557.60/x
  3. Step 3: Cross multiply
    514,977.50x = 710,710.80 × 285,557.60
  4. Step 4: Simplify right side
    514,977.50x = 202,948,870,342.08
  5. Step 5: Solve for x
    x = 202,948,870,342.08/514,977.50
  6. Step 6: Final answer
    x = 394,092.69

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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.