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Finding the Fourth Proportional to 473,608.65, 710,449.02 and 158,065.05

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Solution

The fourth proportional to 473,608.65, 710,449.02 and 158,065.05 is: 237,109.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,608.65 : 710,449.02 = 158,065.05 : x
  2. Step 2: Convert to fraction form
    473,608.65/710,449.02 = 158,065.05/x
  3. Step 3: Cross multiply
    473,608.65x = 710,449.02 × 158,065.05
  4. Step 4: Simplify right side
    473,608.65x = 112,297,159,868.75
  5. Step 5: Solve for x
    x = 112,297,159,868.75/473,608.65
  6. Step 6: Final answer
    x = 237,109.60

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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.