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Finding the Fourth Proportional to 513,329.46, 708,482.06 and 298,594

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Solution

The fourth proportional to 513,329.46, 708,482.06 and 298,594 is: 412,110.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,329.46 : 708,482.06 = 298,594 : x
  2. Step 2: Convert to fraction form
    513,329.46/708,482.06 = 298,594/x
  3. Step 3: Cross multiply
    513,329.46x = 708,482.06 × 298,594
  4. Step 4: Simplify right side
    513,329.46x = 211,548,492,223.64
  5. Step 5: Solve for x
    x = 211,548,492,223.64/513,329.46
  6. Step 6: Final answer
    x = 412,110.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.