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Finding the Fourth Proportional to 562,104.81, 775,957.95 and 358,429.50

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Solution

The fourth proportional to 562,104.81, 775,957.95 and 358,429.50 is: 494,794.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,104.81 : 775,957.95 = 358,429.50 : x
  2. Step 2: Convert to fraction form
    562,104.81/775,957.95 = 358,429.50/x
  3. Step 3: Cross multiply
    562,104.81x = 775,957.95 × 358,429.50
  4. Step 4: Simplify right side
    562,104.81x = 278,126,220,039.53
  5. Step 5: Solve for x
    x = 278,126,220,039.53/562,104.81
  6. Step 6: Final answer
    x = 494,794.24

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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.