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Finding the Fourth Proportional to 506,241.98, 698,678.19 and 288,528.92

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Solution

The fourth proportional to 506,241.98, 698,678.19 and 288,528.92 is: 398,206.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,241.98 : 698,678.19 = 288,528.92 : x
  2. Step 2: Convert to fraction form
    506,241.98/698,678.19 = 288,528.92/x
  3. Step 3: Cross multiply
    506,241.98x = 698,678.19 × 288,528.92
  4. Step 4: Simplify right side
    506,241.98x = 201,588,860,094.86
  5. Step 5: Solve for x
    x = 201,588,860,094.86/506,241.98
  6. Step 6: Final answer
    x = 398,206.53

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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.