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Finding the Fourth Proportional to 452,661, 678,094.80 and 310,156.08

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Solution

The fourth proportional to 452,661, 678,094.80 and 310,156.08 is: 464,619.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,661 : 678,094.80 = 310,156.08 : x
  2. Step 2: Convert to fraction form
    452,661/678,094.80 = 310,156.08/x
  3. Step 3: Cross multiply
    452,661x = 678,094.80 × 310,156.08
  4. Step 4: Simplify right side
    452,661x = 210,315,225,036.38
  5. Step 5: Solve for x
    x = 210,315,225,036.38/452,661
  6. Step 6: Final answer
    x = 464,619.72

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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.