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Finding the Fourth Proportional to 525,387.88, 724,938.95 and 295,896.01

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Solution

The fourth proportional to 525,387.88, 724,938.95 and 295,896.01 is: 408,282.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,387.88 : 724,938.95 = 295,896.01 : x
  2. Step 2: Convert to fraction form
    525,387.88/724,938.95 = 295,896.01/x
  3. Step 3: Cross multiply
    525,387.88x = 724,938.95 × 295,896.01
  4. Step 4: Simplify right side
    525,387.88x = 214,506,543,459.72
  5. Step 5: Solve for x
    x = 214,506,543,459.72/525,387.88
  6. Step 6: Final answer
    x = 408,282.25

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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.