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Finding the Fourth Proportional to 421,283.98, 581,384.55 and 230,307.58

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Solution

The fourth proportional to 421,283.98, 581,384.55 and 230,307.58 is: 317,831.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,283.98 : 581,384.55 = 230,307.58 : x
  2. Step 2: Convert to fraction form
    421,283.98/581,384.55 = 230,307.58/x
  3. Step 3: Cross multiply
    421,283.98x = 581,384.55 × 230,307.58
  4. Step 4: Simplify right side
    421,283.98x = 133,897,268,759.89
  5. Step 5: Solve for x
    x = 133,897,268,759.89/421,283.98
  6. Step 6: Final answer
    x = 317,831.38

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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.