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Finding the Fourth Proportional to 492,031.60, 738,047.40 and 314,738.80

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Solution

The fourth proportional to 492,031.60, 738,047.40 and 314,738.80 is: 472,108.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,031.60 : 738,047.40 = 314,738.80 : x
  2. Step 2: Convert to fraction form
    492,031.60/738,047.40 = 314,738.80/x
  3. Step 3: Cross multiply
    492,031.60x = 738,047.40 × 314,738.80
  4. Step 4: Simplify right side
    492,031.60x = 232,292,153,019.12
  5. Step 5: Solve for x
    x = 232,292,153,019.12/492,031.60
  6. Step 6: Final answer
    x = 472,108.20

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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.