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Finding the Fourth Proportional to 466,712.40, 700,414.20 and 186,430.80

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Solution

The fourth proportional to 466,712.40, 700,414.20 and 186,430.80 is: 279,784.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,712.40 : 700,414.20 = 186,430.80 : x
  2. Step 2: Convert to fraction form
    466,712.40/700,414.20 = 186,430.80/x
  3. Step 3: Cross multiply
    466,712.40x = 700,414.20 × 186,430.80
  4. Step 4: Simplify right side
    466,712.40x = 130,578,779,637.36
  5. Step 5: Solve for x
    x = 130,578,779,637.36/466,712.40
  6. Step 6: Final answer
    x = 279,784.25

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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.