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Finding the Fourth Proportional to 562,112.98, 775,728.21 and 307,464.18

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Solution

The fourth proportional to 562,112.98, 775,728.21 and 307,464.18 is: 424,307.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,112.98 : 775,728.21 = 307,464.18 : x
  2. Step 2: Convert to fraction form
    562,112.98/775,728.21 = 307,464.18/x
  3. Step 3: Cross multiply
    562,112.98x = 775,728.21 × 307,464.18
  4. Step 4: Simplify right side
    562,112.98x = 238,508,637,990.52
  5. Step 5: Solve for x
    x = 238,508,637,990.52/562,112.98
  6. Step 6: Final answer
    x = 424,307.29

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1.5x scale

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.