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Finding the Fourth Proportional to 562,878.96, 776,782.08 and 308,225.76

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Solution

The fourth proportional to 562,878.96, 776,782.08 and 308,225.76 is: 425,356.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,878.96 : 776,782.08 = 308,225.76 : x
  2. Step 2: Convert to fraction form
    562,878.96/776,782.08 = 308,225.76/x
  3. Step 3: Cross multiply
    562,878.96x = 776,782.08 × 308,225.76
  4. Step 4: Simplify right side
    562,878.96x = 239,424,246,962.38
  5. Step 5: Solve for x
    x = 239,424,246,962.38/562,878.96
  6. Step 6: Final answer
    x = 425,356.54

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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.