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Finding the Fourth Proportional to 832,842.84, 1,149,323.04 and 465,320.06

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Solution

The fourth proportional to 832,842.84, 1,149,323.04 and 465,320.06 is: 642,141.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,842.84 : 1,149,323.04 = 465,320.06 : x
  2. Step 2: Convert to fraction form
    832,842.84/1,149,323.04 = 465,320.06/x
  3. Step 3: Cross multiply
    832,842.84x = 1,149,323.04 × 465,320.06
  4. Step 4: Simplify right side
    832,842.84x = 534,803,065,932.18
  5. Step 5: Solve for x
    x = 534,803,065,932.18/832,842.84
  6. Step 6: Final answer
    x = 642,141.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.