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Finding the Fourth Proportional to 514,654.56, 710,224.96 and 285,215.60

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Solution

The fourth proportional to 514,654.56, 710,224.96 and 285,215.60 is: 393,598.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,654.56 : 710,224.96 = 285,215.60 : x
  2. Step 2: Convert to fraction form
    514,654.56/710,224.96 = 285,215.60/x
  3. Step 3: Cross multiply
    514,654.56x = 710,224.96 × 285,215.60
  4. Step 4: Simplify right side
    514,654.56x = 202,567,238,101.38
  5. Step 5: Solve for x
    x = 202,567,238,101.38/514,654.56
  6. Step 6: Final answer
    x = 393,598.45

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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.