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Finding the Fourth Proportional to 514,009.08, 709,333.47 and 284,582.25

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Solution

The fourth proportional to 514,009.08, 709,333.47 and 284,582.25 is: 392,724.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,009.08 : 709,333.47 = 284,582.25 : x
  2. Step 2: Convert to fraction form
    514,009.08/709,333.47 = 284,582.25/x
  3. Step 3: Cross multiply
    514,009.08x = 709,333.47 × 284,582.25
  4. Step 4: Simplify right side
    514,009.08x = 201,863,714,892.91
  5. Step 5: Solve for x
    x = 201,863,714,892.91/514,009.08
  6. Step 6: Final answer
    x = 392,724.03

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