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Finding the Fourth Proportional to 469,641.65, 704,448.50 and 406,274.67

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Solution

The fourth proportional to 469,641.65, 704,448.50 and 406,274.67 is: 609,399.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,641.65 : 704,448.50 = 406,274.67 : x
  2. Step 2: Convert to fraction form
    469,641.65/704,448.50 = 406,274.67/x
  3. Step 3: Cross multiply
    469,641.65x = 704,448.50 × 406,274.67
  4. Step 4: Simplify right side
    469,641.65x = 286,199,579,838.12
  5. Step 5: Solve for x
    x = 286,199,579,838.12/469,641.65
  6. Step 6: Final answer
    x = 609,399.92

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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.