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Finding the Fourth Proportional to 523,717.92, 722,798.16 and 319,726.08

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Solution

The fourth proportional to 523,717.92, 722,798.16 and 319,726.08 is: 441,263.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,717.92 : 722,798.16 = 319,726.08 : x
  2. Step 2: Convert to fraction form
    523,717.92/722,798.16 = 319,726.08/x
  3. Step 3: Cross multiply
    523,717.92x = 722,798.16 × 319,726.08
  4. Step 4: Simplify right side
    523,717.92x = 231,097,422,328.01
  5. Step 5: Solve for x
    x = 231,097,422,328.01/523,717.92
  6. Step 6: Final answer
    x = 441,263.16

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1.5x scale

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.