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Finding the Fourth Proportional to 456,417.70, 683,314.35 and 403,929.70

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Solution

The fourth proportional to 456,417.70, 683,314.35 and 403,929.70 is: 604,733.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,417.70 : 683,314.35 = 403,929.70 : x
  2. Step 2: Convert to fraction form
    456,417.70/683,314.35 = 403,929.70/x
  3. Step 3: Cross multiply
    456,417.70x = 683,314.35 × 403,929.70
  4. Step 4: Simplify right side
    456,417.70x = 276,010,960,401.20
  5. Step 5: Solve for x
    x = 276,010,960,401.20/456,417.70
  6. Step 6: Final answer
    x = 604,733.25

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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.