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Finding the Fourth Proportional to 292,032.60, 438,048.90 and 192,305.40

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Solution

The fourth proportional to 292,032.60, 438,048.90 and 192,305.40 is: 288,458.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,032.60 : 438,048.90 = 192,305.40 : x
  2. Step 2: Convert to fraction form
    292,032.60/438,048.90 = 192,305.40/x
  3. Step 3: Cross multiply
    292,032.60x = 438,048.90 × 192,305.40
  4. Step 4: Simplify right side
    292,032.60x = 84,239,168,934.06
  5. Step 5: Solve for x
    x = 84,239,168,934.06/292,032.60
  6. Step 6: Final answer
    x = 288,458.10

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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.