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Finding the Fourth Proportional to 417,701.60, 626,552.40 and 193,061.60

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Solution

The fourth proportional to 417,701.60, 626,552.40 and 193,061.60 is: 289,592.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,701.60 : 626,552.40 = 193,061.60 : x
  2. Step 2: Convert to fraction form
    417,701.60/626,552.40 = 193,061.60/x
  3. Step 3: Cross multiply
    417,701.60x = 626,552.40 × 193,061.60
  4. Step 4: Simplify right side
    417,701.60x = 120,963,208,827.84
  5. Step 5: Solve for x
    x = 120,963,208,827.84/417,701.60
  6. Step 6: Final answer
    x = 289,592.40

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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.