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Finding the Fourth Proportional to 410,045.18, 565,359.62 and 337,193.48

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Solution

The fourth proportional to 410,045.18, 565,359.62 and 337,193.48 is: 464,913.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,045.18 : 565,359.62 = 337,193.48 : x
  2. Step 2: Convert to fraction form
    410,045.18/565,359.62 = 337,193.48/x
  3. Step 3: Cross multiply
    410,045.18x = 565,359.62 × 337,193.48
  4. Step 4: Simplify right side
    410,045.18x = 190,635,573,206.51
  5. Step 5: Solve for x
    x = 190,635,573,206.51/410,045.18
  6. Step 6: Final answer
    x = 464,913.59

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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.