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Finding the Fourth Proportional to 651,954.10, 978,166.05 and 292,095.40

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Solution

The fourth proportional to 651,954.10, 978,166.05 and 292,095.40 is: 438,248.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,954.10 : 978,166.05 = 292,095.40 : x
  2. Step 2: Convert to fraction form
    651,954.10/978,166.05 = 292,095.40/x
  3. Step 3: Cross multiply
    651,954.10x = 978,166.05 × 292,095.40
  4. Step 4: Simplify right side
    651,954.10x = 285,717,803,641.17
  5. Step 5: Solve for x
    x = 285,717,803,641.17/651,954.10
  6. Step 6: Final answer
    x = 438,248.34

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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.