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Finding the Fourth Proportional to 553,465.46, 830,439.41 and 193,894.26

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Solution

The fourth proportional to 553,465.46, 830,439.41 and 193,894.26 is: 290,925.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,465.46 : 830,439.41 = 193,894.26 : x
  2. Step 2: Convert to fraction form
    553,465.46/830,439.41 = 193,894.26/x
  3. Step 3: Cross multiply
    553,465.46x = 830,439.41 × 193,894.26
  4. Step 4: Simplify right side
    553,465.46x = 161,017,432,429.15
  5. Step 5: Solve for x
    x = 161,017,432,429.15/553,465.46
  6. Step 6: Final answer
    x = 290,925.89

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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.