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Finding the Fourth Proportional to 585,297, 807,709.86 and 317,025

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Solution

The fourth proportional to 585,297, 807,709.86 and 317,025 is: 437,494.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,297 : 807,709.86 = 317,025 : x
  2. Step 2: Convert to fraction form
    585,297/807,709.86 = 317,025/x
  3. Step 3: Cross multiply
    585,297x = 807,709.86 × 317,025
  4. Step 4: Simplify right side
    585,297x = 256,064,218,366.50
  5. Step 5: Solve for x
    x = 256,064,218,366.50/585,297
  6. Step 6: Final answer
    x = 437,494.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.