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Finding the Fourth Proportional to 477,975.95, 717,071.94 and 158,127.07

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Solution

The fourth proportional to 477,975.95, 717,071.94 and 158,127.07 is: 237,226.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,975.95 : 717,071.94 = 158,127.07 : x
  2. Step 2: Convert to fraction form
    477,975.95/717,071.94 = 158,127.07/x
  3. Step 3: Cross multiply
    477,975.95x = 717,071.94 × 158,127.07
  4. Step 4: Simplify right side
    477,975.95x = 113,388,484,851.42
  5. Step 5: Solve for x
    x = 113,388,484,851.42/477,975.95
  6. Step 6: Final answer
    x = 237,226.34

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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.