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Finding the Fourth Proportional to 473,461.40, 710,291.84 and 153,588.29

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Solution

The fourth proportional to 473,461.40, 710,291.84 and 153,588.29 is: 230,414.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,461.40 : 710,291.84 = 153,588.29 : x
  2. Step 2: Convert to fraction form
    473,461.40/710,291.84 = 153,588.29/x
  3. Step 3: Cross multiply
    473,461.40x = 710,291.84 × 153,588.29
  4. Step 4: Simplify right side
    473,461.40x = 109,092,509,106.55
  5. Step 5: Solve for x
    x = 109,092,509,106.55/473,461.40
  6. Step 6: Final answer
    x = 230,414.79

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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.