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Finding the Fourth Proportional to 438,298.66, 657,477.15 and 153,954.64

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Solution

The fourth proportional to 438,298.66, 657,477.15 and 153,954.64 is: 230,942.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,298.66 : 657,477.15 = 153,954.64 : x
  2. Step 2: Convert to fraction form
    438,298.66/657,477.15 = 153,954.64/x
  3. Step 3: Cross multiply
    438,298.66x = 657,477.15 × 153,954.64
  4. Step 4: Simplify right side
    438,298.66x = 101,221,657,936.48
  5. Step 5: Solve for x
    x = 101,221,657,936.48/438,298.66
  6. Step 6: Final answer
    x = 230,942.20

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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.