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Finding the Fourth Proportional to 530,843.40, 794,321.10 and 390,875.40

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Solution

The fourth proportional to 530,843.40, 794,321.10 and 390,875.40 is: 584,881.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,843.40 : 794,321.10 = 390,875.40 : x
  2. Step 2: Convert to fraction form
    530,843.40/794,321.10 = 390,875.40/x
  3. Step 3: Cross multiply
    530,843.40x = 794,321.10 × 390,875.40
  4. Step 4: Simplify right side
    530,843.40x = 310,480,577,690.94
  5. Step 5: Solve for x
    x = 310,480,577,690.94/530,843.40
  6. Step 6: Final answer
    x = 584,881.68

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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.