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Finding the Fourth Proportional to 475,746.24, 713,852.10 and 209,473.32

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Solution

The fourth proportional to 475,746.24, 713,852.10 and 209,473.32 is: 314,312.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,746.24 : 713,852.10 = 209,473.32 : x
  2. Step 2: Convert to fraction form
    475,746.24/713,852.10 = 209,473.32/x
  3. Step 3: Cross multiply
    475,746.24x = 713,852.10 × 209,473.32
  4. Step 4: Simplify right side
    475,746.24x = 149,532,969,375.97
  5. Step 5: Solve for x
    x = 149,532,969,375.97/475,746.24
  6. Step 6: Final answer
    x = 314,312.46

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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.