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Finding the Fourth Proportional to 750,333, 1,035,460.09 and 406,167.85

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Solution

The fourth proportional to 750,333, 1,035,460.09 and 406,167.85 is: 560,511.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    750,333 : 1,035,460.09 = 406,167.85 : x
  2. Step 2: Convert to fraction form
    750,333/1,035,460.09 = 406,167.85/x
  3. Step 3: Cross multiply
    750,333x = 1,035,460.09 × 406,167.85
  4. Step 4: Simplify right side
    750,333x = 420,570,598,516.11
  5. Step 5: Solve for x
    x = 420,570,598,516.11/750,333
  6. Step 6: Final answer
    x = 560,511.93

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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.