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Finding the Fourth Proportional to 473,808.48, 710,683.44 and 158,238.96

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Solution

The fourth proportional to 473,808.48, 710,683.44 and 158,238.96 is: 237,348.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,808.48 : 710,683.44 = 158,238.96 : x
  2. Step 2: Convert to fraction form
    473,808.48/710,683.44 = 158,238.96/x
  3. Step 3: Cross multiply
    473,808.48x = 710,683.44 × 158,238.96
  4. Step 4: Simplify right side
    473,808.48x = 112,457,808,434.82
  5. Step 5: Solve for x
    x = 112,457,808,434.82/473,808.48
  6. Step 6: Final answer
    x = 237,348.66

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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.