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Finding the Fourth Proportional to 473,350.40, 709,288.32 and 297,877.76

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Solution

The fourth proportional to 473,350.40, 709,288.32 and 297,877.76 is: 446,352.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,350.40 : 709,288.32 = 297,877.76 : x
  2. Step 2: Convert to fraction form
    473,350.40/709,288.32 = 297,877.76/x
  3. Step 3: Cross multiply
    473,350.40x = 709,288.32 × 297,877.76
  4. Step 4: Simplify right side
    473,350.40x = 211,281,215,955.76
  5. Step 5: Solve for x
    x = 211,281,215,955.76/473,350.40
  6. Step 6: Final answer
    x = 446,352.67

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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.