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Finding the Fourth Proportional to 292,494, 438,743.40 and 70,878

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Solution

The fourth proportional to 292,494, 438,743.40 and 70,878 is: 106,317.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,494 : 438,743.40 = 70,878 : x
  2. Step 2: Convert to fraction form
    292,494/438,743.40 = 70,878/x
  3. Step 3: Cross multiply
    292,494x = 438,743.40 × 70,878
  4. Step 4: Simplify right side
    292,494x = 31,097,254,705.20
  5. Step 5: Solve for x
    x = 31,097,254,705.20/292,494
  6. Step 6: Final answer
    x = 106,317.58

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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.