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Finding the Fourth Proportional to 452,465.80, 678,698.70 and 186,051.40

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Solution

The fourth proportional to 452,465.80, 678,698.70 and 186,051.40 is: 279,077.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,465.80 : 678,698.70 = 186,051.40 : x
  2. Step 2: Convert to fraction form
    452,465.80/678,698.70 = 186,051.40/x
  3. Step 3: Cross multiply
    452,465.80x = 678,698.70 × 186,051.40
  4. Step 4: Simplify right side
    452,465.80x = 126,272,843,313.18
  5. Step 5: Solve for x
    x = 126,272,843,313.18/452,465.80
  6. Step 6: Final answer
    x = 279,077.10

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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.