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Finding the Fourth Proportional to 520,039.40, 778,746.90 and 415,063.40

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Solution

The fourth proportional to 520,039.40, 778,746.90 and 415,063.40 is: 621,547.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,039.40 : 778,746.90 = 415,063.40 : x
  2. Step 2: Convert to fraction form
    520,039.40/778,746.90 = 415,063.40/x
  3. Step 3: Cross multiply
    520,039.40x = 778,746.90 × 415,063.40
  4. Step 4: Simplify right side
    520,039.40x = 323,229,336,053.46
  5. Step 5: Solve for x
    x = 323,229,336,053.46/520,039.40
  6. Step 6: Final answer
    x = 621,547.78

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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.