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Finding the Fourth Proportional to 872,345.09, 1,203,658.13 and 509,698.88

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Solution

The fourth proportional to 872,345.09, 1,203,658.13 and 509,698.88 is: 703,280.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,345.09 : 1,203,658.13 = 509,698.88 : x
  2. Step 2: Convert to fraction form
    872,345.09/1,203,658.13 = 509,698.88/x
  3. Step 3: Cross multiply
    872,345.09x = 1,203,658.13 × 509,698.88
  4. Step 4: Simplify right side
    872,345.09x = 613,503,197,666.51
  5. Step 5: Solve for x
    x = 613,503,197,666.51/872,345.09
  6. Step 6: Final answer
    x = 703,280.39

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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.