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Finding the Fourth Proportional to 284,507.48, 392,615.75 and 155,443.19

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Solution

The fourth proportional to 284,507.48, 392,615.75 and 155,443.19 is: 214,509.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,507.48 : 392,615.75 = 155,443.19 : x
  2. Step 2: Convert to fraction form
    284,507.48/392,615.75 = 155,443.19/x
  3. Step 3: Cross multiply
    284,507.48x = 392,615.75 × 155,443.19
  4. Step 4: Simplify right side
    284,507.48x = 61,029,442,911.56
  5. Step 5: Solve for x
    x = 61,029,442,911.56/284,507.48
  6. Step 6: Final answer
    x = 214,509.09

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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.