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Finding the Fourth Proportional to 705,530.40, 973,244.16 and 446,933.76

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Solution

The fourth proportional to 705,530.40, 973,244.16 and 446,933.76 is: 616,522.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,530.40 : 973,244.16 = 446,933.76 : x
  2. Step 2: Convert to fraction form
    705,530.40/973,244.16 = 446,933.76/x
  3. Step 3: Cross multiply
    705,530.40x = 973,244.16 × 446,933.76
  4. Step 4: Simplify right side
    705,530.40x = 434,975,671,826.84
  5. Step 5: Solve for x
    x = 434,975,671,826.84/705,530.40
  6. Step 6: Final answer
    x = 616,522.93

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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.