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Finding the Fourth Proportional to 473,899.16, 710,885.48 and 158,357.20

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Solution

The fourth proportional to 473,899.16, 710,885.48 and 158,357.20 is: 237,548.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,899.16 : 710,885.48 = 158,357.20 : x
  2. Step 2: Convert to fraction form
    473,899.16/710,885.48 = 158,357.20/x
  3. Step 3: Cross multiply
    473,899.16x = 710,885.48 × 158,357.20
  4. Step 4: Simplify right side
    473,899.16x = 112,573,834,133.46
  5. Step 5: Solve for x
    x = 112,573,834,133.46/473,899.16
  6. Step 6: Final answer
    x = 237,548.08

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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.