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Finding the Fourth Proportional to 460,810.32, 635,931.72 and 269,805.84

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Solution

The fourth proportional to 460,810.32, 635,931.72 and 269,805.84 is: 372,339.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,810.32 : 635,931.72 = 269,805.84 : x
  2. Step 2: Convert to fraction form
    460,810.32/635,931.72 = 269,805.84/x
  3. Step 3: Cross multiply
    460,810.32x = 635,931.72 × 269,805.84
  4. Step 4: Simplify right side
    460,810.32x = 171,578,091,897.25
  5. Step 5: Solve for x
    x = 171,578,091,897.25/460,810.32
  6. Step 6: Final answer
    x = 372,339.95

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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.