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Finding the Fourth Proportional to 469,715.98, 704,701.08 and 334,950.32

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Solution

The fourth proportional to 469,715.98, 704,701.08 and 334,950.32 is: 502,516.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,715.98 : 704,701.08 = 334,950.32 : x
  2. Step 2: Convert to fraction form
    469,715.98/704,701.08 = 334,950.32/x
  3. Step 3: Cross multiply
    469,715.98x = 704,701.08 × 334,950.32
  4. Step 4: Simplify right side
    469,715.98x = 236,039,852,250.35
  5. Step 5: Solve for x
    x = 236,039,852,250.35/469,715.98
  6. Step 6: Final answer
    x = 502,516.12

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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.