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Finding the Fourth Proportional to 584,709, 806,898.48 and 316,437

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Solution

The fourth proportional to 584,709, 806,898.48 and 316,437 is: 436,683.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,709 : 806,898.48 = 316,437 : x
  2. Step 2: Convert to fraction form
    584,709/806,898.48 = 316,437/x
  3. Step 3: Cross multiply
    584,709x = 806,898.48 × 316,437
  4. Step 4: Simplify right side
    584,709x = 255,332,534,315.76
  5. Step 5: Solve for x
    x = 255,332,534,315.76/584,709
  6. Step 6: Final answer
    x = 436,683.09

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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.