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Finding the Fourth Proportional to 477,533.07, 716,069.16 and 277,898.04

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Solution

The fourth proportional to 477,533.07, 716,069.16 and 277,898.04 is: 416,712.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,533.07 : 716,069.16 = 277,898.04 : x
  2. Step 2: Convert to fraction form
    477,533.07/716,069.16 = 277,898.04/x
  3. Step 3: Cross multiply
    477,533.07x = 716,069.16 × 277,898.04
  4. Step 4: Simplify right side
    477,533.07x = 198,994,216,068.45
  5. Step 5: Solve for x
    x = 198,994,216,068.45/477,533.07
  6. Step 6: Final answer
    x = 416,712.95

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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.