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Finding the Fourth Proportional to 722,963.10, 997,461.11 and 416,998.46

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Solution

The fourth proportional to 722,963.10, 997,461.11 and 416,998.46 is: 575,326.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,963.10 : 997,461.11 = 416,998.46 : x
  2. Step 2: Convert to fraction form
    722,963.10/997,461.11 = 416,998.46/x
  3. Step 3: Cross multiply
    722,963.10x = 997,461.11 × 416,998.46
  4. Step 4: Simplify right side
    722,963.10x = 415,939,750,316.04
  5. Step 5: Solve for x
    x = 415,939,750,316.04/722,963.10
  6. Step 6: Final answer
    x = 575,326.39

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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.