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Finding the Fourth Proportional to 760,826.13, 1,049,940 and 421,294.38

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Solution

The fourth proportional to 760,826.13, 1,049,940 and 421,294.38 is: 581,386.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,826.13 : 1,049,940 = 421,294.38 : x
  2. Step 2: Convert to fraction form
    760,826.13/1,049,940 = 421,294.38/x
  3. Step 3: Cross multiply
    760,826.13x = 1,049,940 × 421,294.38
  4. Step 4: Simplify right side
    760,826.13x = 442,333,821,337.20
  5. Step 5: Solve for x
    x = 442,333,821,337.20/760,826.13
  6. Step 6: Final answer
    x = 581,386.21

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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.