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Finding the Fourth Proportional to 518,528, 715,569.12 and 280,064

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Solution

The fourth proportional to 518,528, 715,569.12 and 280,064 is: 386,488.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,528 : 715,569.12 = 280,064 : x
  2. Step 2: Convert to fraction form
    518,528/715,569.12 = 280,064/x
  3. Step 3: Cross multiply
    518,528x = 715,569.12 × 280,064
  4. Step 4: Simplify right side
    518,528x = 200,405,150,023.68
  5. Step 5: Solve for x
    x = 200,405,150,023.68/518,528
  6. Step 6: Final answer
    x = 386,488.58

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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.