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Finding the Fourth Proportional to 846,417.40, 1,168,009.14 and 464,413.84

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Solution

The fourth proportional to 846,417.40, 1,168,009.14 and 464,413.84 is: 640,865.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,417.40 : 1,168,009.14 = 464,413.84 : x
  2. Step 2: Convert to fraction form
    846,417.40/1,168,009.14 = 464,413.84/x
  3. Step 3: Cross multiply
    846,417.40x = 1,168,009.14 × 464,413.84
  4. Step 4: Simplify right side
    846,417.40x = 542,439,609,862.50
  5. Step 5: Solve for x
    x = 542,439,609,862.50/846,417.40
  6. Step 6: Final answer
    x = 640,865.38

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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.