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Finding the Fourth Proportional to 585,203.50, 807,580.83 and 316,931.50

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Solution

The fourth proportional to 585,203.50, 807,580.83 and 316,931.50 is: 437,365.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,203.50 : 807,580.83 = 316,931.50 : x
  2. Step 2: Convert to fraction form
    585,203.50/807,580.83 = 316,931.50/x
  3. Step 3: Cross multiply
    585,203.50x = 807,580.83 × 316,931.50
  4. Step 4: Simplify right side
    585,203.50x = 255,947,803,823.15
  5. Step 5: Solve for x
    x = 255,947,803,823.15/585,203.50
  6. Step 6: Final answer
    x = 437,365.47

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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.