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Finding the Fourth Proportional to 307,210.16, 424,030.20 and 200,074.16

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Solution

The fourth proportional to 307,210.16, 424,030.20 and 200,074.16 is: 276,154.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,210.16 : 424,030.20 = 200,074.16 : x
  2. Step 2: Convert to fraction form
    307,210.16/424,030.20 = 200,074.16/x
  3. Step 3: Cross multiply
    307,210.16x = 424,030.20 × 200,074.16
  4. Step 4: Simplify right side
    307,210.16x = 84,837,486,079.63
  5. Step 5: Solve for x
    x = 84,837,486,079.63/307,210.16
  6. Step 6: Final answer
    x = 276,154.56

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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.