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Finding the Fourth Proportional to 475,893.30, 712,437.54 and 416,844.30

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Solution

The fourth proportional to 475,893.30, 712,437.54 and 416,844.30 is: 624,038.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,893.30 : 712,437.54 = 416,844.30 : x
  2. Step 2: Convert to fraction form
    475,893.30/712,437.54 = 416,844.30/x
  3. Step 3: Cross multiply
    475,893.30x = 712,437.54 × 416,844.30
  4. Step 4: Simplify right side
    475,893.30x = 296,975,527,655.02
  5. Step 5: Solve for x
    x = 296,975,527,655.02/475,893.30
  6. Step 6: Final answer
    x = 624,038.05

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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.