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Finding the Fourth Proportional to 524,706.58, 724,039.24 and 295,259.86

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Solution

The fourth proportional to 524,706.58, 724,039.24 and 295,259.86 is: 407,427.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,706.58 : 724,039.24 = 295,259.86 : x
  2. Step 2: Convert to fraction form
    524,706.58/724,039.24 = 295,259.86/x
  3. Step 3: Cross multiply
    524,706.58x = 724,039.24 × 295,259.86
  4. Step 4: Simplify right side
    524,706.58x = 213,779,724,636.91
  5. Step 5: Solve for x
    x = 213,779,724,636.91/524,706.58
  6. Step 6: Final answer
    x = 407,427.18

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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.