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Finding the Fourth Proportional to 473,084.16, 709,363.71 and 157,368.84

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Solution

The fourth proportional to 473,084.16, 709,363.71 and 157,368.84 is: 235,965.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,084.16 : 709,363.71 = 157,368.84 : x
  2. Step 2: Convert to fraction form
    473,084.16/709,363.71 = 157,368.84/x
  3. Step 3: Cross multiply
    473,084.16x = 709,363.71 × 157,368.84
  4. Step 4: Simplify right side
    473,084.16x = 111,631,744,180.80
  5. Step 5: Solve for x
    x = 111,631,744,180.80/473,084.16
  6. Step 6: Final answer
    x = 235,965.93

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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.