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Finding the Fourth Proportional to 562,105.81, 775,959.33 and 358,430.50

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Solution

The fourth proportional to 562,105.81, 775,959.33 and 358,430.50 is: 494,795.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,105.81 : 775,959.33 = 358,430.50 : x
  2. Step 2: Convert to fraction form
    562,105.81/775,959.33 = 358,430.50/x
  3. Step 3: Cross multiply
    562,105.81x = 775,959.33 × 358,430.50
  4. Step 4: Simplify right side
    562,105.81x = 278,127,490,631.57
  5. Step 5: Solve for x
    x = 278,127,490,631.57/562,105.81
  6. Step 6: Final answer
    x = 494,795.62

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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.