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Finding the Fourth Proportional to 473,247.30, 709,152.66 and 346,971.60

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Solution

The fourth proportional to 473,247.30, 709,152.66 and 346,971.60 is: 519,930.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,247.30 : 709,152.66 = 346,971.60 : x
  2. Step 2: Convert to fraction form
    473,247.30/709,152.66 = 346,971.60/x
  3. Step 3: Cross multiply
    473,247.30x = 709,152.66 × 346,971.60
  4. Step 4: Simplify right side
    473,247.30x = 246,055,833,084.46
  5. Step 5: Solve for x
    x = 246,055,833,084.46/473,247.30
  6. Step 6: Final answer
    x = 519,930.77

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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.