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Finding the Fourth Proportional to 295,094.20, 442,641.30 and 288,533.20

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Solution

The fourth proportional to 295,094.20, 442,641.30 and 288,533.20 is: 432,799.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,094.20 : 442,641.30 = 288,533.20 : x
  2. Step 2: Convert to fraction form
    295,094.20/442,641.30 = 288,533.20/x
  3. Step 3: Cross multiply
    295,094.20x = 442,641.30 × 288,533.20
  4. Step 4: Simplify right side
    295,094.20x = 127,716,710,741.16
  5. Step 5: Solve for x
    x = 127,716,710,741.16/295,094.20
  6. Step 6: Final answer
    x = 432,799.80

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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.