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Finding the Fourth Proportional to 458,585.19, 683,228.93 and 435,999.56

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Solution

The fourth proportional to 458,585.19, 683,228.93 and 435,999.56 is: 649,579.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,585.19 : 683,228.93 = 435,999.56 : x
  2. Step 2: Convert to fraction form
    458,585.19/683,228.93 = 435,999.56/x
  3. Step 3: Cross multiply
    458,585.19x = 683,228.93 × 435,999.56
  4. Step 4: Simplify right side
    458,585.19x = 297,887,507,263.13
  5. Step 5: Solve for x
    x = 297,887,507,263.13/458,585.19
  6. Step 6: Final answer
    x = 649,579.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.