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Finding the Fourth Proportional to 540,564.64, 810,503.52 and 474,138.16

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Solution

The fourth proportional to 540,564.64, 810,503.52 and 474,138.16 is: 710,906.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,564.64 : 810,503.52 = 474,138.16 : x
  2. Step 2: Convert to fraction form
    540,564.64/810,503.52 = 474,138.16/x
  3. Step 3: Cross multiply
    540,564.64x = 810,503.52 × 474,138.16
  4. Step 4: Simplify right side
    540,564.64x = 384,290,647,646.32
  5. Step 5: Solve for x
    x = 384,290,647,646.32/540,564.64
  6. Step 6: Final answer
    x = 710,906.00

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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.