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Finding the Fourth Proportional to 597,242.25, 824,194.35 and 328,970.25

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Solution

The fourth proportional to 597,242.25, 824,194.35 and 328,970.25 is: 453,978.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,242.25 : 824,194.35 = 328,970.25 : x
  2. Step 2: Convert to fraction form
    597,242.25/824,194.35 = 328,970.25/x
  3. Step 3: Cross multiply
    597,242.25x = 824,194.35 × 328,970.25
  4. Step 4: Simplify right side
    597,242.25x = 271,135,421,368.09
  5. Step 5: Solve for x
    x = 271,135,421,368.09/597,242.25
  6. Step 6: Final answer
    x = 453,978.97

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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.