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Finding the Fourth Proportional to 319,356.88, 440,706.36 and 176,130.16

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Solution

The fourth proportional to 319,356.88, 440,706.36 and 176,130.16 is: 243,056.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,356.88 : 440,706.36 = 176,130.16 : x
  2. Step 2: Convert to fraction form
    319,356.88/440,706.36 = 176,130.16/x
  3. Step 3: Cross multiply
    319,356.88x = 440,706.36 × 176,130.16
  4. Step 4: Simplify right side
    319,356.88x = 77,621,681,699.82
  5. Step 5: Solve for x
    x = 77,621,681,699.82/319,356.88
  6. Step 6: Final answer
    x = 243,056.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.