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Finding the Fourth Proportional to 464,296.10, 640,755.30 and 260,412.42

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Solution

The fourth proportional to 464,296.10, 640,755.30 and 260,412.42 is: 359,384.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,296.10 : 640,755.30 = 260,412.42 : x
  2. Step 2: Convert to fraction form
    464,296.10/640,755.30 = 260,412.42/x
  3. Step 3: Cross multiply
    464,296.10x = 640,755.30 × 260,412.42
  4. Step 4: Simplify right side
    464,296.10x = 166,860,638,300.83
  5. Step 5: Solve for x
    x = 166,860,638,300.83/464,296.10
  6. Step 6: Final answer
    x = 359,384.11

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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.