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Finding the Fourth Proportional to 473,590.91, 710,156.10 and 157,941.20

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Solution

The fourth proportional to 473,590.91, 710,156.10 and 157,941.20 is: 236,835.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,590.91 : 710,156.10 = 157,941.20 : x
  2. Step 2: Convert to fraction form
    473,590.91/710,156.10 = 157,941.20/x
  3. Step 3: Cross multiply
    473,590.91x = 710,156.10 × 157,941.20
  4. Step 4: Simplify right side
    473,590.91x = 112,162,903,070.54
  5. Step 5: Solve for x
    x = 112,162,903,070.54/473,590.91
  6. Step 6: Final answer
    x = 236,835.00

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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.