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Finding the Fourth Proportional to 473,614.16, 710,427.51 and 158,070.96

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Solution

The fourth proportional to 473,614.16, 710,427.51 and 158,070.96 is: 237,108.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,614.16 : 710,427.51 = 158,070.96 : x
  2. Step 2: Convert to fraction form
    473,614.16/710,427.51 = 158,070.96/x
  3. Step 3: Cross multiply
    473,614.16x = 710,427.51 × 158,070.96
  4. Step 4: Simplify right side
    473,614.16x = 112,297,958,516.11
  5. Step 5: Solve for x
    x = 112,297,958,516.11/473,614.16
  6. Step 6: Final answer
    x = 237,108.54

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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.