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Finding the Fourth Proportional to 521,009.80, 780,348.30 and 402,296.20

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Solution

The fourth proportional to 521,009.80, 780,348.30 and 402,296.20 is: 602,543.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,009.80 : 780,348.30 = 402,296.20 : x
  2. Step 2: Convert to fraction form
    521,009.80/780,348.30 = 402,296.20/x
  3. Step 3: Cross multiply
    521,009.80x = 780,348.30 × 402,296.20
  4. Step 4: Simplify right side
    521,009.80x = 313,931,155,766.46
  5. Step 5: Solve for x
    x = 313,931,155,766.46/521,009.80
  6. Step 6: Final answer
    x = 602,543.67

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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.