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Finding the Fourth Proportional to 473,106.20, 709,853.70 and 173,730.20

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Solution

The fourth proportional to 473,106.20, 709,853.70 and 173,730.20 is: 260,666.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,106.20 : 709,853.70 = 173,730.20 : x
  2. Step 2: Convert to fraction form
    473,106.20/709,853.70 = 173,730.20/x
  3. Step 3: Cross multiply
    473,106.20x = 709,853.70 × 173,730.20
  4. Step 4: Simplify right side
    473,106.20x = 123,323,025,271.74
  5. Step 5: Solve for x
    x = 123,323,025,271.74/473,106.20
  6. Step 6: Final answer
    x = 260,666.69

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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.