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Finding the Fourth Proportional to 474,089.95, 711,028.21 and 137,055.50

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Solution

The fourth proportional to 474,089.95, 711,028.21 and 137,055.50 is: 205,552.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,089.95 : 711,028.21 = 137,055.50 : x
  2. Step 2: Convert to fraction form
    474,089.95/711,028.21 = 137,055.50/x
  3. Step 3: Cross multiply
    474,089.95x = 711,028.21 × 137,055.50
  4. Step 4: Simplify right side
    474,089.95x = 97,450,326,835.66
  5. Step 5: Solve for x
    x = 97,450,326,835.66/474,089.95
  6. Step 6: Final answer
    x = 205,552.40

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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.