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Finding the Fourth Proportional to 304,762.46, 457,173.76 and 105,056.56

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Solution

The fourth proportional to 304,762.46, 457,173.76 and 105,056.56 is: 157,595.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,762.46 : 457,173.76 = 105,056.56 : x
  2. Step 2: Convert to fraction form
    304,762.46/457,173.76 = 105,056.56/x
  3. Step 3: Cross multiply
    304,762.46x = 457,173.76 × 105,056.56
  4. Step 4: Simplify right side
    304,762.46x = 48,029,102,547.87
  5. Step 5: Solve for x
    x = 48,029,102,547.87/304,762.46
  6. Step 6: Final answer
    x = 157,595.21

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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.