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Finding the Fourth Proportional to 302,275.60, 453,413.40 and 213,702.10

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Solution

The fourth proportional to 302,275.60, 453,413.40 and 213,702.10 is: 320,553.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,275.60 : 453,413.40 = 213,702.10 : x
  2. Step 2: Convert to fraction form
    302,275.60/453,413.40 = 213,702.10/x
  3. Step 3: Cross multiply
    302,275.60x = 453,413.40 × 213,702.10
  4. Step 4: Simplify right side
    302,275.60x = 96,895,395,748.14
  5. Step 5: Solve for x
    x = 96,895,395,748.14/302,275.60
  6. Step 6: Final answer
    x = 320,553.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.