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Finding the Fourth Proportional to 521,763.10, 783,595.05 and 456,444.70

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Solution

The fourth proportional to 521,763.10, 783,595.05 and 456,444.70 is: 685,498.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,763.10 : 783,595.05 = 456,444.70 : x
  2. Step 2: Convert to fraction form
    521,763.10/783,595.05 = 456,444.70/x
  3. Step 3: Cross multiply
    521,763.10x = 783,595.05 × 456,444.70
  4. Step 4: Simplify right side
    521,763.10x = 357,667,807,518.74
  5. Step 5: Solve for x
    x = 357,667,807,518.74/521,763.10
  6. Step 6: Final answer
    x = 685,498.47

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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.