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Finding the Fourth Proportional to 788,292, 1,087,842.96 and 430,596

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Solution

The fourth proportional to 788,292, 1,087,842.96 and 430,596 is: 594,222.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,292 : 1,087,842.96 = 430,596 : x
  2. Step 2: Convert to fraction form
    788,292/1,087,842.96 = 430,596/x
  3. Step 3: Cross multiply
    788,292x = 1,087,842.96 × 430,596
  4. Step 4: Simplify right side
    788,292x = 468,420,827,204.16
  5. Step 5: Solve for x
    x = 468,420,827,204.16/788,292
  6. Step 6: Final answer
    x = 594,222.48

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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.