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Finding the Fourth Proportional to 475,615.80, 713,423.70 and 432,070.20

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Solution

The fourth proportional to 475,615.80, 713,423.70 and 432,070.20 is: 648,105.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,615.80 : 713,423.70 = 432,070.20 : x
  2. Step 2: Convert to fraction form
    475,615.80/713,423.70 = 432,070.20/x
  3. Step 3: Cross multiply
    475,615.80x = 713,423.70 × 432,070.20
  4. Step 4: Simplify right side
    475,615.80x = 308,249,120,743.74
  5. Step 5: Solve for x
    x = 308,249,120,743.74/475,615.80
  6. Step 6: Final answer
    x = 648,105.30

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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.