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Finding the Fourth Proportional to 466,973.20, 700,459.80 and 407,924.20

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Solution

The fourth proportional to 466,973.20, 700,459.80 and 407,924.20 is: 611,886.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,973.20 : 700,459.80 = 407,924.20 : x
  2. Step 2: Convert to fraction form
    466,973.20/700,459.80 = 407,924.20/x
  3. Step 3: Cross multiply
    466,973.20x = 700,459.80 × 407,924.20
  4. Step 4: Simplify right side
    466,973.20x = 285,734,503,547.16
  5. Step 5: Solve for x
    x = 285,734,503,547.16/466,973.20
  6. Step 6: Final answer
    x = 611,886.30

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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.