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Finding the Fourth Proportional to 295,235.60, 442,918.20 and 145,547.60

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Solution

The fourth proportional to 295,235.60, 442,918.20 and 145,547.60 is: 218,353.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,235.60 : 442,918.20 = 145,547.60 : x
  2. Step 2: Convert to fraction form
    295,235.60/442,918.20 = 145,547.60/x
  3. Step 3: Cross multiply
    295,235.60x = 442,918.20 × 145,547.60
  4. Step 4: Simplify right side
    295,235.60x = 64,465,681,006.32
  5. Step 5: Solve for x
    x = 64,465,681,006.32/295,235.60
  6. Step 6: Final answer
    x = 218,353.35

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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.