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Finding the Fourth Proportional to 475,386.42, 713,359.95 and 176,077.25

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Solution

The fourth proportional to 475,386.42, 713,359.95 and 176,077.25 is: 264,219.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,386.42 : 713,359.95 = 176,077.25 : x
  2. Step 2: Convert to fraction form
    475,386.42/713,359.95 = 176,077.25/x
  3. Step 3: Cross multiply
    475,386.42x = 713,359.95 × 176,077.25
  4. Step 4: Simplify right side
    475,386.42x = 125,606,458,256.14
  5. Step 5: Solve for x
    x = 125,606,458,256.14/475,386.42
  6. Step 6: Final answer
    x = 264,219.70

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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.