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Finding the Fourth Proportional to 553,817.60, 830,070.30 and 413,412.20

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Solution

The fourth proportional to 553,817.60, 830,070.30 and 413,412.20 is: 619,628.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,817.60 : 830,070.30 = 413,412.20 : x
  2. Step 2: Convert to fraction form
    553,817.60/830,070.30 = 413,412.20/x
  3. Step 3: Cross multiply
    553,817.60x = 830,070.30 × 413,412.20
  4. Step 4: Simplify right side
    553,817.60x = 343,161,188,877.66
  5. Step 5: Solve for x
    x = 343,161,188,877.66/553,817.60
  6. Step 6: Final answer
    x = 619,628.54

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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.