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Finding the Fourth Proportional to 716,442.49, 988,831.92 and 410,724.10

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Solution

The fourth proportional to 716,442.49, 988,831.92 and 410,724.10 is: 566,880.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,442.49 : 988,831.92 = 410,724.10 : x
  2. Step 2: Convert to fraction form
    716,442.49/988,831.92 = 410,724.10/x
  3. Step 3: Cross multiply
    716,442.49x = 988,831.92 × 410,724.10
  4. Step 4: Simplify right side
    716,442.49x = 406,137,100,393.27
  5. Step 5: Solve for x
    x = 406,137,100,393.27/716,442.49
  6. Step 6: Final answer
    x = 566,880.25

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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.