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Finding the Fourth Proportional to 506,465.40, 759,698.10 and 206,749.20

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Solution

The fourth proportional to 506,465.40, 759,698.10 and 206,749.20 is: 310,123.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,465.40 : 759,698.10 = 206,749.20 : x
  2. Step 2: Convert to fraction form
    506,465.40/759,698.10 = 206,749.20/x
  3. Step 3: Cross multiply
    506,465.40x = 759,698.10 × 206,749.20
  4. Step 4: Simplify right side
    506,465.40x = 157,066,974,416.52
  5. Step 5: Solve for x
    x = 157,066,974,416.52/506,465.40
  6. Step 6: Final answer
    x = 310,123.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.