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Finding the Fourth Proportional to 299,478.04, 413,277.32 and 163,510.02

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Solution

The fourth proportional to 299,478.04, 413,277.32 and 163,510.02 is: 225,642.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,478.04 : 413,277.32 = 163,510.02 : x
  2. Step 2: Convert to fraction form
    299,478.04/413,277.32 = 163,510.02/x
  3. Step 3: Cross multiply
    299,478.04x = 413,277.32 × 163,510.02
  4. Step 4: Simplify right side
    299,478.04x = 67,574,982,858.75
  5. Step 5: Solve for x
    x = 67,574,982,858.75/299,478.04
  6. Step 6: Final answer
    x = 225,642.53

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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.