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Finding the Fourth Proportional to 468,569.10, 702,117.54 and 362,213.58

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Solution

The fourth proportional to 468,569.10, 702,117.54 and 362,213.58 is: 542,751.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,569.10 : 702,117.54 = 362,213.58 : x
  2. Step 2: Convert to fraction form
    468,569.10/702,117.54 = 362,213.58/x
  3. Step 3: Cross multiply
    468,569.10x = 702,117.54 × 362,213.58
  4. Step 4: Simplify right side
    468,569.10x = 254,316,507,744.19
  5. Step 5: Solve for x
    x = 254,316,507,744.19/468,569.10
  6. Step 6: Final answer
    x = 542,751.34

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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.