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Finding the Fourth Proportional to 304,831.68, 457,080.48 and 94,411.20

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Solution

The fourth proportional to 304,831.68, 457,080.48 and 94,411.20 is: 141,565.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,831.68 : 457,080.48 = 94,411.20 : x
  2. Step 2: Convert to fraction form
    304,831.68/457,080.48 = 94,411.20/x
  3. Step 3: Cross multiply
    304,831.68x = 457,080.48 × 94,411.20
  4. Step 4: Simplify right side
    304,831.68x = 43,153,516,613.38
  5. Step 5: Solve for x
    x = 43,153,516,613.38/304,831.68
  6. Step 6: Final answer
    x = 141,565.07

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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.