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Finding the Fourth Proportional to 464,737.80, 697,106.70 and 354,145.80

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Solution

The fourth proportional to 464,737.80, 697,106.70 and 354,145.80 is: 531,218.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,737.80 : 697,106.70 = 354,145.80 : x
  2. Step 2: Convert to fraction form
    464,737.80/697,106.70 = 354,145.80/x
  3. Step 3: Cross multiply
    464,737.80x = 697,106.70 × 354,145.80
  4. Step 4: Simplify right side
    464,737.80x = 246,877,409,956.86
  5. Step 5: Solve for x
    x = 246,877,409,956.86/464,737.80
  6. Step 6: Final answer
    x = 531,218.70

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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.