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Finding the Fourth Proportional to 316,033.20, 472,897.80 and 233,089.20

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Solution

The fourth proportional to 316,033.20, 472,897.80 and 233,089.20 is: 348,784.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,033.20 : 472,897.80 = 233,089.20 : x
  2. Step 2: Convert to fraction form
    316,033.20/472,897.80 = 233,089.20/x
  3. Step 3: Cross multiply
    316,033.20x = 472,897.80 × 233,089.20
  4. Step 4: Simplify right side
    316,033.20x = 110,227,369,883.76
  5. Step 5: Solve for x
    x = 110,227,369,883.76/316,033.20
  6. Step 6: Final answer
    x = 348,784.15

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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.