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Finding the Fourth Proportional to 535,678.89, 739,258.19 and 293,970.11

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Solution

The fourth proportional to 535,678.89, 739,258.19 and 293,970.11 is: 405,690.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,678.89 : 739,258.19 = 293,970.11 : x
  2. Step 2: Convert to fraction form
    535,678.89/739,258.19 = 293,970.11/x
  3. Step 3: Cross multiply
    535,678.89x = 739,258.19 × 293,970.11
  4. Step 4: Simplify right side
    535,678.89x = 217,319,809,038.78
  5. Step 5: Solve for x
    x = 217,319,809,038.78/535,678.89
  6. Step 6: Final answer
    x = 405,690.45

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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.