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Finding the Fourth Proportional to 473,598.90, 709,793.55 and 192,798.90

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Solution

The fourth proportional to 473,598.90, 709,793.55 and 192,798.90 is: 288,952.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,598.90 : 709,793.55 = 192,798.90 : x
  2. Step 2: Convert to fraction form
    473,598.90/709,793.55 = 192,798.90/x
  3. Step 3: Cross multiply
    473,598.90x = 709,793.55 × 192,798.90
  4. Step 4: Simplify right side
    473,598.90x = 136,847,415,667.10
  5. Step 5: Solve for x
    x = 136,847,415,667.10/473,598.90
  6. Step 6: Final answer
    x = 288,952.14

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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.