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Finding the Fourth Proportional to 586,056, 808,757.70 and 317,784

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Solution

The fourth proportional to 586,056, 808,757.70 and 317,784 is: 438,542.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,056 : 808,757.70 = 317,784 : x
  2. Step 2: Convert to fraction form
    586,056/808,757.70 = 317,784/x
  3. Step 3: Cross multiply
    586,056x = 808,757.70 × 317,784
  4. Step 4: Simplify right side
    586,056x = 257,010,256,936.80
  5. Step 5: Solve for x
    x = 257,010,256,936.80/586,056
  6. Step 6: Final answer
    x = 438,542.15

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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.