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Finding the Fourth Proportional to 284,295, 426,444.66 and 97,308.12

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Solution

The fourth proportional to 284,295, 426,444.66 and 97,308.12 is: 145,962.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,295 : 426,444.66 = 97,308.12 : x
  2. Step 2: Convert to fraction form
    284,295/426,444.66 = 97,308.12/x
  3. Step 3: Cross multiply
    284,295x = 426,444.66 × 97,308.12
  4. Step 4: Simplify right side
    284,295x = 41,496,528,148.64
  5. Step 5: Solve for x
    x = 41,496,528,148.64/284,295
  6. Step 6: Final answer
    x = 145,962.92

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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.