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Finding the Fourth Proportional to 410,045.93, 565,360.65 and 337,194.23

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Solution

The fourth proportional to 410,045.93, 565,360.65 and 337,194.23 is: 464,914.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,045.93 : 565,360.65 = 337,194.23 : x
  2. Step 2: Convert to fraction form
    410,045.93/565,360.65 = 337,194.23/x
  3. Step 3: Cross multiply
    410,045.93x = 565,360.65 × 337,194.23
  4. Step 4: Simplify right side
    410,045.93x = 190,636,346,222.25
  5. Step 5: Solve for x
    x = 190,636,346,222.25/410,045.93
  6. Step 6: Final answer
    x = 464,914.62

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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.