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Finding the Fourth Proportional to 553,814.60, 830,065.80 and 413,409.20

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Solution

The fourth proportional to 553,814.60, 830,065.80 and 413,409.20 is: 619,624.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,814.60 : 830,065.80 = 413,409.20 : x
  2. Step 2: Convert to fraction form
    553,814.60/830,065.80 = 413,409.20/x
  3. Step 3: Cross multiply
    553,814.60x = 830,065.80 × 413,409.20
  4. Step 4: Simplify right side
    553,814.60x = 343,156,838,325.36
  5. Step 5: Solve for x
    x = 343,156,838,325.36/553,814.60
  6. Step 6: Final answer
    x = 619,624.04

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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.