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Finding the Fourth Proportional to 473,373.20, 710,063.40 and 157,829.60

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Solution

The fourth proportional to 473,373.20, 710,063.40 and 157,829.60 is: 236,745.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,373.20 : 710,063.40 = 157,829.60 : x
  2. Step 2: Convert to fraction form
    473,373.20/710,063.40 = 157,829.60/x
  3. Step 3: Cross multiply
    473,373.20x = 710,063.40 × 157,829.60
  4. Step 4: Simplify right side
    473,373.20x = 112,069,022,396.64
  5. Step 5: Solve for x
    x = 112,069,022,396.64/473,373.20
  6. Step 6: Final answer
    x = 236,745.60

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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.