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Finding the Fourth Proportional to 423,510.30, 584,277.54 and 242,124.78

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Solution

The fourth proportional to 423,510.30, 584,277.54 and 242,124.78 is: 334,036.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,510.30 : 584,277.54 = 242,124.78 : x
  2. Step 2: Convert to fraction form
    423,510.30/584,277.54 = 242,124.78/x
  3. Step 3: Cross multiply
    423,510.30x = 584,277.54 × 242,124.78
  4. Step 4: Simplify right side
    423,510.30x = 141,468,070,831.44
  5. Step 5: Solve for x
    x = 141,468,070,831.44/423,510.30
  6. Step 6: Final answer
    x = 334,036.91

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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.