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Finding the Fourth Proportional to 687,086.76, 948,189.06 and 514,699.32

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Solution

The fourth proportional to 687,086.76, 948,189.06 and 514,699.32 is: 710,292.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,086.76 : 948,189.06 = 514,699.32 : x
  2. Step 2: Convert to fraction form
    687,086.76/948,189.06 = 514,699.32/x
  3. Step 3: Cross multiply
    687,086.76x = 948,189.06 × 514,699.32
  4. Step 4: Simplify right side
    687,086.76x = 488,032,264,413.44
  5. Step 5: Solve for x
    x = 488,032,264,413.44/687,086.76
  6. Step 6: Final answer
    x = 710,292.05

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Double scale
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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.