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Finding the Fourth Proportional to 504,967.60, 756,430.80 and 314,844.40

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Solution

The fourth proportional to 504,967.60, 756,430.80 and 314,844.40 is: 471,630.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,967.60 : 756,430.80 = 314,844.40 : x
  2. Step 2: Convert to fraction form
    504,967.60/756,430.80 = 314,844.40/x
  3. Step 3: Cross multiply
    504,967.60x = 756,430.80 × 314,844.40
  4. Step 4: Simplify right side
    504,967.60x = 238,158,001,367.52
  5. Step 5: Solve for x
    x = 238,158,001,367.52/504,967.60
  6. Step 6: Final answer
    x = 471,630.26

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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.