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Finding the Fourth Proportional to 562,345.88, 776,037.31 and 307,697.06

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Solution

The fourth proportional to 562,345.88, 776,037.31 and 307,697.06 is: 424,621.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,345.88 : 776,037.31 = 307,697.06 : x
  2. Step 2: Convert to fraction form
    562,345.88/776,037.31 = 307,697.06/x
  3. Step 3: Cross multiply
    562,345.88x = 776,037.31 × 307,697.06
  4. Step 4: Simplify right side
    562,345.88x = 238,784,399,908.16
  5. Step 5: Solve for x
    x = 238,784,399,908.16/562,345.88
  6. Step 6: Final answer
    x = 424,621.95

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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.