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Finding the Fourth Proportional to 413,148.90, 619,686.90 and 113,602.80

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Solution

The fourth proportional to 413,148.90, 619,686.90 and 113,602.80 is: 170,394.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,148.90 : 619,686.90 = 113,602.80 : x
  2. Step 2: Convert to fraction form
    413,148.90/619,686.90 = 113,602.80/x
  3. Step 3: Cross multiply
    413,148.90x = 619,686.90 × 113,602.80
  4. Step 4: Simplify right side
    413,148.90x = 70,398,166,963.32
  5. Step 5: Solve for x
    x = 70,398,166,963.32/413,148.90
  6. Step 6: Final answer
    x = 170,394.18

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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.