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Finding the Fourth Proportional to 472,084.02, 651,467.72 and 257,225.86

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Solution

The fourth proportional to 472,084.02, 651,467.72 and 257,225.86 is: 354,967.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,084.02 : 651,467.72 = 257,225.86 : x
  2. Step 2: Convert to fraction form
    472,084.02/651,467.72 = 257,225.86/x
  3. Step 3: Cross multiply
    472,084.02x = 651,467.72 × 257,225.86
  4. Step 4: Simplify right side
    472,084.02x = 167,574,344,539.24
  5. Step 5: Solve for x
    x = 167,574,344,539.24/472,084.02
  6. Step 6: Final answer
    x = 354,967.20

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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.