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Finding the Fourth Proportional to 492,713.80, 739,070.70 and 473,030.80

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Solution

The fourth proportional to 492,713.80, 739,070.70 and 473,030.80 is: 709,546.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,713.80 : 739,070.70 = 473,030.80 : x
  2. Step 2: Convert to fraction form
    492,713.80/739,070.70 = 473,030.80/x
  3. Step 3: Cross multiply
    492,713.80x = 739,070.70 × 473,030.80
  4. Step 4: Simplify right side
    492,713.80x = 349,603,204,477.56
  5. Step 5: Solve for x
    x = 349,603,204,477.56/492,713.80
  6. Step 6: Final answer
    x = 709,546.20

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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.