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Finding the Fourth Proportional to 399,095.52, 598,641.60 and 162,382.08

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Solution

The fourth proportional to 399,095.52, 598,641.60 and 162,382.08 is: 243,572.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,095.52 : 598,641.60 = 162,382.08 : x
  2. Step 2: Convert to fraction form
    399,095.52/598,641.60 = 162,382.08/x
  3. Step 3: Cross multiply
    399,095.52x = 598,641.60 × 162,382.08
  4. Step 4: Simplify right side
    399,095.52x = 97,208,668,182.53
  5. Step 5: Solve for x
    x = 97,208,668,182.53/399,095.52
  6. Step 6: Final answer
    x = 243,572.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.