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Finding the Fourth Proportional to 506,362.38, 698,784.75 and 280,011.66

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Solution

The fourth proportional to 506,362.38, 698,784.75 and 280,011.66 is: 386,418.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,362.38 : 698,784.75 = 280,011.66 : x
  2. Step 2: Convert to fraction form
    506,362.38/698,784.75 = 280,011.66/x
  3. Step 3: Cross multiply
    506,362.38x = 698,784.75 × 280,011.66
  4. Step 4: Simplify right side
    506,362.38x = 195,667,877,830.19
  5. Step 5: Solve for x
    x = 195,667,877,830.19/506,362.38
  6. Step 6: Final answer
    x = 386,418.67

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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.