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Finding the Fourth Proportional to 473,415.12, 709,877.84 and 173,818.80

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Solution

The fourth proportional to 473,415.12, 709,877.84 and 173,818.80 is: 260,638.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,415.12 : 709,877.84 = 173,818.80 : x
  2. Step 2: Convert to fraction form
    473,415.12/709,877.84 = 173,818.80/x
  3. Step 3: Cross multiply
    473,415.12x = 709,877.84 × 173,818.80
  4. Step 4: Simplify right side
    473,415.12x = 123,390,114,295.39
  5. Step 5: Solve for x
    x = 123,390,114,295.39/473,415.12
  6. Step 6: Final answer
    x = 260,638.30

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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.