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Finding the Fourth Proportional to 506,240.47, 698,676.12 and 288,527.41

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Solution

The fourth proportional to 506,240.47, 698,676.12 and 288,527.41 is: 398,204.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,240.47 : 698,676.12 = 288,527.41 : x
  2. Step 2: Convert to fraction form
    506,240.47/698,676.12 = 288,527.41/x
  3. Step 3: Cross multiply
    506,240.47x = 698,676.12 × 288,527.41
  4. Step 4: Simplify right side
    506,240.47x = 201,587,209,835.03
  5. Step 5: Solve for x
    x = 201,587,209,835.03/506,240.47
  6. Step 6: Final answer
    x = 398,204.45

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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.