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Finding the Fourth Proportional to 563,951.52, 846,116.76 and 208,994.16

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Solution

The fourth proportional to 563,951.52, 846,116.76 and 208,994.16 is: 313,561.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,951.52 : 846,116.76 = 208,994.16 : x
  2. Step 2: Convert to fraction form
    563,951.52/846,116.76 = 208,994.16/x
  3. Step 3: Cross multiply
    563,951.52x = 846,116.76 × 208,994.16
  4. Step 4: Simplify right side
    563,951.52x = 176,833,461,518.12
  5. Step 5: Solve for x
    x = 176,833,461,518.12/563,951.52
  6. Step 6: Final answer
    x = 313,561.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.