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Finding the Fourth Proportional to 564,798, 779,490.36 and 326,334

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Solution

The fourth proportional to 564,798, 779,490.36 and 326,334 is: 450,380.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,798 : 779,490.36 = 326,334 : x
  2. Step 2: Convert to fraction form
    564,798/779,490.36 = 326,334/x
  3. Step 3: Cross multiply
    564,798x = 779,490.36 × 326,334
  4. Step 4: Simplify right side
    564,798x = 254,374,207,140.24
  5. Step 5: Solve for x
    x = 254,374,207,140.24/564,798
  6. Step 6: Final answer
    x = 450,380.86

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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.