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Finding the Fourth Proportional to 651,430, 898,868.40 and 409,541.20

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Solution

The fourth proportional to 651,430, 898,868.40 and 409,541.20 is: 565,100.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,430 : 898,868.40 = 409,541.20 : x
  2. Step 2: Convert to fraction form
    651,430/898,868.40 = 409,541.20/x
  3. Step 3: Cross multiply
    651,430x = 898,868.40 × 409,541.20
  4. Step 4: Simplify right side
    651,430x = 368,123,643,178.08
  5. Step 5: Solve for x
    x = 368,123,643,178.08/651,430
  6. Step 6: Final answer
    x = 565,100.84

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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.