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Finding the Fourth Proportional to 292,543.60, 410,114 and 292,543.60

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Solution

The fourth proportional to 292,543.60, 410,114 and 292,543.60 is: 410,114

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,543.60 : 410,114 = 292,543.60 : x
  2. Step 2: Convert to fraction form
    292,543.60/410,114 = 292,543.60/x
  3. Step 3: Cross multiply
    292,543.60x = 410,114 × 292,543.60
  4. Step 4: Simplify right side
    292,543.60x = 119,976,225,970.40
  5. Step 5: Solve for x
    x = 119,976,225,970.40/292,543.60
  6. Step 6: Final answer
    x = 410,114

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.