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Finding the Fourth Proportional to 702,856.48, 969,908.70 and 416,330.32

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Solution

The fourth proportional to 702,856.48, 969,908.70 and 416,330.32 is: 574,516.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,856.48 : 969,908.70 = 416,330.32 : x
  2. Step 2: Convert to fraction form
    702,856.48/969,908.70 = 416,330.32/x
  3. Step 3: Cross multiply
    702,856.48x = 969,908.70 × 416,330.32
  4. Step 4: Simplify right side
    702,856.48x = 403,802,399,441.78
  5. Step 5: Solve for x
    x = 403,802,399,441.78/702,856.48
  6. Step 6: Final answer
    x = 574,516.15

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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.