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Finding the Fourth Proportional to 395,681.52, 593,549.68 and 159,024.40

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Solution

The fourth proportional to 395,681.52, 593,549.68 and 159,024.40 is: 238,547.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,681.52 : 593,549.68 = 159,024.40 : x
  2. Step 2: Convert to fraction form
    395,681.52/593,549.68 = 159,024.40/x
  3. Step 3: Cross multiply
    395,681.52x = 593,549.68 × 159,024.40
  4. Step 4: Simplify right side
    395,681.52x = 94,388,881,732.19
  5. Step 5: Solve for x
    x = 94,388,881,732.19/395,681.52
  6. Step 6: Final answer
    x = 238,547.61

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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.