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Finding the Fourth Proportional to 564,348.13, 778,798.07 and 335,094.13

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Solution

The fourth proportional to 564,348.13, 778,798.07 and 335,094.13 is: 462,428.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,348.13 : 778,798.07 = 335,094.13 : x
  2. Step 2: Convert to fraction form
    564,348.13/778,798.07 = 335,094.13/x
  3. Step 3: Cross multiply
    564,348.13x = 778,798.07 × 335,094.13
  4. Step 4: Simplify right side
    564,348.13x = 260,970,662,266.96
  5. Step 5: Solve for x
    x = 260,970,662,266.96/564,348.13
  6. Step 6: Final answer
    x = 462,428.51

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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.