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Finding the Fourth Proportional to 585,038, 807,352.44 and 316,766

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Solution

The fourth proportional to 585,038, 807,352.44 and 316,766 is: 437,137.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,038 : 807,352.44 = 316,766 : x
  2. Step 2: Convert to fraction form
    585,038/807,352.44 = 316,766/x
  3. Step 3: Cross multiply
    585,038x = 807,352.44 × 316,766
  4. Step 4: Simplify right side
    585,038x = 255,741,803,009.04
  5. Step 5: Solve for x
    x = 255,741,803,009.04/585,038
  6. Step 6: Final answer
    x = 437,137.08

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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.