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Finding the Fourth Proportional to 460,796, 635,931.12 and 259,592

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Solution

The fourth proportional to 460,796, 635,931.12 and 259,592 is: 358,255.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,796 : 635,931.12 = 259,592 : x
  2. Step 2: Convert to fraction form
    460,796/635,931.12 = 259,592/x
  3. Step 3: Cross multiply
    460,796x = 635,931.12 × 259,592
  4. Step 4: Simplify right side
    460,796x = 165,082,631,303.04
  5. Step 5: Solve for x
    x = 165,082,631,303.04/460,796
  6. Step 6: Final answer
    x = 358,255.35

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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.