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Finding the Fourth Proportional to 565,256.32, 846,038.40 and 415,456.96

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Solution

The fourth proportional to 565,256.32, 846,038.40 and 415,456.96 is: 621,828.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,256.32 : 846,038.40 = 415,456.96 : x
  2. Step 2: Convert to fraction form
    565,256.32/846,038.40 = 415,456.96/x
  3. Step 3: Cross multiply
    565,256.32x = 846,038.40 × 415,456.96
  4. Step 4: Simplify right side
    565,256.32x = 351,492,541,707.26
  5. Step 5: Solve for x
    x = 351,492,541,707.26/565,256.32
  6. Step 6: Final answer
    x = 621,828.59

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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.