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Finding the Fourth Proportional to 562,854.53, 776,731.47 and 308,205.65

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Solution

The fourth proportional to 562,854.53, 776,731.47 and 308,205.65 is: 425,319.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,854.53 : 776,731.47 = 308,205.65 : x
  2. Step 2: Convert to fraction form
    562,854.53/776,731.47 = 308,205.65/x
  3. Step 3: Cross multiply
    562,854.53x = 776,731.47 × 308,205.65
  4. Step 4: Simplify right side
    562,854.53x = 239,393,027,586.81
  5. Step 5: Solve for x
    x = 239,393,027,586.81/562,854.53
  6. Step 6: Final answer
    x = 425,319.54

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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.