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Finding the Fourth Proportional to 417,567.48, 626,044.50 and 133,094.40

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Solution

The fourth proportional to 417,567.48, 626,044.50 and 133,094.40 is: 199,543.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,567.48 : 626,044.50 = 133,094.40 : x
  2. Step 2: Convert to fraction form
    417,567.48/626,044.50 = 133,094.40/x
  3. Step 3: Cross multiply
    417,567.48x = 626,044.50 × 133,094.40
  4. Step 4: Simplify right side
    417,567.48x = 83,323,017,100.80
  5. Step 5: Solve for x
    x = 83,323,017,100.80/417,567.48
  6. Step 6: Final answer
    x = 199,543.84

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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.