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Finding the Fourth Proportional to 473,888.42, 710,869.35 and 158,346.44

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Solution

The fourth proportional to 473,888.42, 710,869.35 and 158,346.44 is: 237,531.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,888.42 : 710,869.35 = 158,346.44 : x
  2. Step 2: Convert to fraction form
    473,888.42/710,869.35 = 158,346.44/x
  3. Step 3: Cross multiply
    473,888.42x = 710,869.35 × 158,346.44
  4. Step 4: Simplify right side
    473,888.42x = 112,563,630,877.61
  5. Step 5: Solve for x
    x = 112,563,630,877.61/473,888.42
  6. Step 6: Final answer
    x = 237,531.93

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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.