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Finding the Fourth Proportional to 470,541.20, 705,811.80 and 417,664.40

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Solution

The fourth proportional to 470,541.20, 705,811.80 and 417,664.40 is: 626,496.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,541.20 : 705,811.80 = 417,664.40 : x
  2. Step 2: Convert to fraction form
    470,541.20/705,811.80 = 417,664.40/x
  3. Step 3: Cross multiply
    470,541.20x = 705,811.80 × 417,664.40
  4. Step 4: Simplify right side
    470,541.20x = 294,792,461,959.92
  5. Step 5: Solve for x
    x = 294,792,461,959.92/470,541.20
  6. Step 6: Final answer
    x = 626,496.60

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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.