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Finding the Fourth Proportional to 585,981, 808,653.78 and 317,709

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Solution

The fourth proportional to 585,981, 808,653.78 and 317,709 is: 438,438.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,981 : 808,653.78 = 317,709 : x
  2. Step 2: Convert to fraction form
    585,981/808,653.78 = 317,709/x
  3. Step 3: Cross multiply
    585,981x = 808,653.78 × 317,709
  4. Step 4: Simplify right side
    585,981x = 256,916,583,790.02
  5. Step 5: Solve for x
    x = 256,916,583,790.02/585,981
  6. Step 6: Final answer
    x = 438,438.42

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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.