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Finding the Fourth Proportional to 390,532.64, 538,831.68 and 229,336.16

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Solution

The fourth proportional to 390,532.64, 538,831.68 and 229,336.16 is: 316,423.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,532.64 : 538,831.68 = 229,336.16 : x
  2. Step 2: Convert to fraction form
    390,532.64/538,831.68 = 229,336.16/x
  3. Step 3: Cross multiply
    390,532.64x = 538,831.68 × 229,336.16
  4. Step 4: Simplify right side
    390,532.64x = 123,573,588,377.55
  5. Step 5: Solve for x
    x = 123,573,588,377.55/390,532.64
  6. Step 6: Final answer
    x = 316,423.20

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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.