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Finding the Fourth Proportional to 460,497.06, 635,505.54 and 256,547.86

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Solution

The fourth proportional to 460,497.06, 635,505.54 and 256,547.86 is: 354,046.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,497.06 : 635,505.54 = 256,547.86 : x
  2. Step 2: Convert to fraction form
    460,497.06/635,505.54 = 256,547.86/x
  3. Step 3: Cross multiply
    460,497.06x = 635,505.54 × 256,547.86
  4. Step 4: Simplify right side
    460,497.06x = 163,037,586,305.14
  5. Step 5: Solve for x
    x = 163,037,586,305.14/460,497.06
  6. Step 6: Final answer
    x = 354,046.96

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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.