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Finding the Fourth Proportional to 713,329.98, 984,465.80 and 407,452.11

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Solution

The fourth proportional to 713,329.98, 984,465.80 and 407,452.11 is: 562,324.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,329.98 : 984,465.80 = 407,452.11 : x
  2. Step 2: Convert to fraction form
    713,329.98/984,465.80 = 407,452.11/x
  3. Step 3: Cross multiply
    713,329.98x = 984,465.80 × 407,452.11
  4. Step 4: Simplify right side
    713,329.98x = 401,122,667,432.84
  5. Step 5: Solve for x
    x = 401,122,667,432.84/713,329.98
  6. Step 6: Final answer
    x = 562,324.14

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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.