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Finding the Fourth Proportional to 514,805.04, 710,430.48 and 288,452.16

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Solution

The fourth proportional to 514,805.04, 710,430.48 and 288,452.16 is: 398,063.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,805.04 : 710,430.48 = 288,452.16 : x
  2. Step 2: Convert to fraction form
    514,805.04/710,430.48 = 288,452.16/x
  3. Step 3: Cross multiply
    514,805.04x = 710,430.48 × 288,452.16
  4. Step 4: Simplify right side
    514,805.04x = 204,925,206,485.84
  5. Step 5: Solve for x
    x = 204,925,206,485.84/514,805.04
  6. Step 6: Final answer
    x = 398,063.71

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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.