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Finding the Fourth Proportional to 587,246.40, 879,314.40 and 462,830.40

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Solution

The fourth proportional to 587,246.40, 879,314.40 and 462,830.40 is: 693,019.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,246.40 : 879,314.40 = 462,830.40 : x
  2. Step 2: Convert to fraction form
    587,246.40/879,314.40 = 462,830.40/x
  3. Step 3: Cross multiply
    587,246.40x = 879,314.40 × 462,830.40
  4. Step 4: Simplify right side
    587,246.40x = 406,973,435,477.76
  5. Step 5: Solve for x
    x = 406,973,435,477.76/587,246.40
  6. Step 6: Final answer
    x = 693,019.89

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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.