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Finding the Fourth Proportional to 472,158.66, 651,559.98 and 257,294.12

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Solution

The fourth proportional to 472,158.66, 651,559.98 and 257,294.12 is: 355,055.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,158.66 : 651,559.98 = 257,294.12 : x
  2. Step 2: Convert to fraction form
    472,158.66/651,559.98 = 257,294.12/x
  3. Step 3: Cross multiply
    472,158.66x = 651,559.98 × 257,294.12
  4. Step 4: Simplify right side
    472,158.66x = 167,642,548,423.52
  5. Step 5: Solve for x
    x = 167,642,548,423.52/472,158.66
  6. Step 6: Final answer
    x = 355,055.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.