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Finding the Fourth Proportional to 462,117.60, 693,176.40 and 312,818.40

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Solution

The fourth proportional to 462,117.60, 693,176.40 and 312,818.40 is: 469,227.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,117.60 : 693,176.40 = 312,818.40 : x
  2. Step 2: Convert to fraction form
    462,117.60/693,176.40 = 312,818.40/x
  3. Step 3: Cross multiply
    462,117.60x = 693,176.40 × 312,818.40
  4. Step 4: Simplify right side
    462,117.60x = 216,838,332,365.76
  5. Step 5: Solve for x
    x = 216,838,332,365.76/462,117.60
  6. Step 6: Final answer
    x = 469,227.60

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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.