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Finding the Fourth Proportional to 357,495.34, 538,175.71 and 325,678.88

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Solution

The fourth proportional to 357,495.34, 538,175.71 and 325,678.88 is: 490,279.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,495.34 : 538,175.71 = 325,678.88 : x
  2. Step 2: Convert to fraction form
    357,495.34/538,175.71 = 325,678.88/x
  3. Step 3: Cross multiply
    357,495.34x = 538,175.71 × 325,678.88
  4. Step 4: Simplify right side
    357,495.34x = 175,272,462,476.01
  5. Step 5: Solve for x
    x = 175,272,462,476.01/357,495.34
  6. Step 6: Final answer
    x = 490,279.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.