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Finding the Fourth Proportional to 473,475.30, 710,312.31 and 136,515.30

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Solution

The fourth proportional to 473,475.30, 710,312.31 and 136,515.30 is: 204,801.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,475.30 : 710,312.31 = 136,515.30 : x
  2. Step 2: Convert to fraction form
    473,475.30/710,312.31 = 136,515.30/x
  3. Step 3: Cross multiply
    473,475.30x = 710,312.31 × 136,515.30
  4. Step 4: Simplify right side
    473,475.30x = 96,968,498,093.34
  5. Step 5: Solve for x
    x = 96,968,498,093.34/473,475.30
  6. Step 6: Final answer
    x = 204,801.60

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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.