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Finding the Fourth Proportional to 714,876.82, 986,283.38 and 456,904.76

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Solution

The fourth proportional to 714,876.82, 986,283.38 and 456,904.76 is: 630,370.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,876.82 : 986,283.38 = 456,904.76 : x
  2. Step 2: Convert to fraction form
    714,876.82/986,283.38 = 456,904.76/x
  3. Step 3: Cross multiply
    714,876.82x = 986,283.38 × 456,904.76
  4. Step 4: Simplify right side
    714,876.82x = 450,637,571,030.89
  5. Step 5: Solve for x
    x = 450,637,571,030.89/714,876.82
  6. Step 6: Final answer
    x = 630,370.94

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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.