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Finding the Fourth Proportional to 494,713.36, 742,111.48 and 157,802.32

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Solution

The fourth proportional to 494,713.36, 742,111.48 and 157,802.32 is: 236,716.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,713.36 : 742,111.48 = 157,802.32 : x
  2. Step 2: Convert to fraction form
    494,713.36/742,111.48 = 157,802.32/x
  3. Step 3: Cross multiply
    494,713.36x = 742,111.48 × 157,802.32
  4. Step 4: Simplify right side
    494,713.36x = 117,106,913,242.63
  5. Step 5: Solve for x
    x = 117,106,913,242.63/494,713.36
  6. Step 6: Final answer
    x = 236,716.70

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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.