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Finding the Fourth Proportional to 473,627.20, 710,408.40 and 153,774.40

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Solution

The fourth proportional to 473,627.20, 710,408.40 and 153,774.40 is: 230,651.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,627.20 : 710,408.40 = 153,774.40 : x
  2. Step 2: Convert to fraction form
    473,627.20/710,408.40 = 153,774.40/x
  3. Step 3: Cross multiply
    473,627.20x = 710,408.40 × 153,774.40
  4. Step 4: Simplify right side
    473,627.20x = 109,242,625,464.96
  5. Step 5: Solve for x
    x = 109,242,625,464.96/473,627.20
  6. Step 6: Final answer
    x = 230,651.08

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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.