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Finding the Fourth Proportional to 585,534.50, 808,038.18 and 317,262.50

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Solution

The fourth proportional to 585,534.50, 808,038.18 and 317,262.50 is: 437,822.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,534.50 : 808,038.18 = 317,262.50 : x
  2. Step 2: Convert to fraction form
    585,534.50/808,038.18 = 317,262.50/x
  3. Step 3: Cross multiply
    585,534.50x = 808,038.18 × 317,262.50
  4. Step 4: Simplify right side
    585,534.50x = 256,360,213,082.25
  5. Step 5: Solve for x
    x = 256,360,213,082.25/585,534.50
  6. Step 6: Final answer
    x = 437,822.56

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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.