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Finding the Fourth Proportional to 464,782.90, 641,254.17 and 260,803.84

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Solution

The fourth proportional to 464,782.90, 641,254.17 and 260,803.84 is: 359,827.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,782.90 : 641,254.17 = 260,803.84 : x
  2. Step 2: Convert to fraction form
    464,782.90/641,254.17 = 260,803.84/x
  3. Step 3: Cross multiply
    464,782.90x = 641,254.17 × 260,803.84
  4. Step 4: Simplify right side
    464,782.90x = 167,241,549,952.01
  5. Step 5: Solve for x
    x = 167,241,549,952.01/464,782.90
  6. Step 6: Final answer
    x = 359,827.24

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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.