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Finding the Fourth Proportional to 473,373.70, 710,064.15 and 157,830.10

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Solution

The fourth proportional to 473,373.70, 710,064.15 and 157,830.10 is: 236,746.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,373.70 : 710,064.15 = 157,830.10 : x
  2. Step 2: Convert to fraction form
    473,373.70/710,064.15 = 157,830.10/x
  3. Step 3: Cross multiply
    473,373.70x = 710,064.15 × 157,830.10
  4. Step 4: Simplify right side
    473,373.70x = 112,069,495,800.92
  5. Step 5: Solve for x
    x = 112,069,495,800.92/473,373.70
  6. Step 6: Final answer
    x = 236,746.35

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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.