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Finding the Fourth Proportional to 435,732.74, 601,298.08 and 242,139.80

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Solution

The fourth proportional to 435,732.74, 601,298.08 and 242,139.80 is: 334,145.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,732.74 : 601,298.08 = 242,139.80 : x
  2. Step 2: Convert to fraction form
    435,732.74/601,298.08 = 242,139.80/x
  3. Step 3: Cross multiply
    435,732.74x = 601,298.08 × 242,139.80
  4. Step 4: Simplify right side
    435,732.74x = 145,598,196,831.58
  5. Step 5: Solve for x
    x = 145,598,196,831.58/435,732.74
  6. Step 6: Final answer
    x = 334,145.64

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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.