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Finding the Fourth Proportional to 705,495, 973,209.92 and 446,915.76

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Solution

The fourth proportional to 705,495, 973,209.92 and 446,915.76 is: 616,507.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,495 : 973,209.92 = 446,915.76 : x
  2. Step 2: Convert to fraction form
    705,495/973,209.92 = 446,915.76/x
  3. Step 3: Cross multiply
    705,495x = 973,209.92 × 446,915.76
  4. Step 4: Simplify right side
    705,495x = 434,942,851,036.34
  5. Step 5: Solve for x
    x = 434,942,851,036.34/705,495
  6. Step 6: Final answer
    x = 616,507.35

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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.