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Finding the Fourth Proportional to 524,304.64, 785,660.16 and 384,156.16

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Solution

The fourth proportional to 524,304.64, 785,660.16 and 384,156.16 is: 575,650.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,304.64 : 785,660.16 = 384,156.16 : x
  2. Step 2: Convert to fraction form
    524,304.64/785,660.16 = 384,156.16/x
  3. Step 3: Cross multiply
    524,304.64x = 785,660.16 × 384,156.16
  4. Step 4: Simplify right side
    524,304.64x = 301,816,190,130.59
  5. Step 5: Solve for x
    x = 301,816,190,130.59/524,304.64
  6. Step 6: Final answer
    x = 575,650.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.