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Finding the Fourth Proportional to 472,159.16, 651,560.66 and 257,294.62

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Solution

The fourth proportional to 472,159.16, 651,560.66 and 257,294.62 is: 355,056.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,159.16 : 651,560.66 = 257,294.62 : x
  2. Step 2: Convert to fraction form
    472,159.16/651,560.66 = 257,294.62/x
  3. Step 3: Cross multiply
    472,159.16x = 651,560.66 × 257,294.62
  4. Step 4: Simplify right side
    472,159.16x = 167,643,052,421.65
  5. Step 5: Solve for x
    x = 167,643,052,421.65/472,159.16
  6. Step 6: Final answer
    x = 355,056.23

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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.