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Finding the Fourth Proportional to 562,946.80, 845,034.60 and 314,114.80

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Solution

The fourth proportional to 562,946.80, 845,034.60 and 314,114.80 is: 471,515.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,946.80 : 845,034.60 = 314,114.80 : x
  2. Step 2: Convert to fraction form
    562,946.80/845,034.60 = 314,114.80/x
  3. Step 3: Cross multiply
    562,946.80x = 845,034.60 × 314,114.80
  4. Step 4: Simplify right side
    562,946.80x = 265,437,874,372.08
  5. Step 5: Solve for x
    x = 265,437,874,372.08/562,946.80
  6. Step 6: Final answer
    x = 471,515.02

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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.