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Finding the Fourth Proportional to 585,624, 808,161.12 and 317,352

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Solution

The fourth proportional to 585,624, 808,161.12 and 317,352 is: 437,945.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,624 : 808,161.12 = 317,352 : x
  2. Step 2: Convert to fraction form
    585,624/808,161.12 = 317,352/x
  3. Step 3: Cross multiply
    585,624x = 808,161.12 × 317,352
  4. Step 4: Simplify right side
    585,624x = 256,471,547,754.24
  5. Step 5: Solve for x
    x = 256,471,547,754.24/585,624
  6. Step 6: Final answer
    x = 437,945.76

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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.