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Finding the Fourth Proportional to 563,670, 778,272.84 and 362,815.92

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Solution

The fourth proportional to 563,670, 778,272.84 and 362,815.92 is: 500,948.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,670 : 778,272.84 = 362,815.92 : x
  2. Step 2: Convert to fraction form
    563,670/778,272.84 = 362,815.92/x
  3. Step 3: Cross multiply
    563,670x = 778,272.84 × 362,815.92
  4. Step 4: Simplify right side
    563,670x = 282,369,776,455.61
  5. Step 5: Solve for x
    x = 282,369,776,455.61/563,670
  6. Step 6: Final answer
    x = 500,948.74

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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.