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Finding the Fourth Proportional to 473,161.80, 709,742.70 and 429,616.20

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Solution

The fourth proportional to 473,161.80, 709,742.70 and 429,616.20 is: 644,424.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,161.80 : 709,742.70 = 429,616.20 : x
  2. Step 2: Convert to fraction form
    473,161.80/709,742.70 = 429,616.20/x
  3. Step 3: Cross multiply
    473,161.80x = 709,742.70 × 429,616.20
  4. Step 4: Simplify right side
    473,161.80x = 304,916,961,751.74
  5. Step 5: Solve for x
    x = 304,916,961,751.74/473,161.80
  6. Step 6: Final answer
    x = 644,424.30

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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.