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Finding the Fourth Proportional to 524,842.14, 724,351.59 and 295,443.84

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Solution

The fourth proportional to 524,842.14, 724,351.59 and 295,443.84 is: 407,751.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,842.14 : 724,351.59 = 295,443.84 : x
  2. Step 2: Convert to fraction form
    524,842.14/724,351.59 = 295,443.84/x
  3. Step 3: Cross multiply
    524,842.14x = 724,351.59 × 295,443.84
  4. Step 4: Simplify right side
    524,842.14x = 214,005,215,259.71
  5. Step 5: Solve for x
    x = 214,005,215,259.71/524,842.14
  6. Step 6: Final answer
    x = 407,751.59

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1.5x scale

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.