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Finding the Fourth Proportional to 356,829.40, 535,244.10 and 286,845.40

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Solution

The fourth proportional to 356,829.40, 535,244.10 and 286,845.40 is: 430,268.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,829.40 : 535,244.10 = 286,845.40 : x
  2. Step 2: Convert to fraction form
    356,829.40/535,244.10 = 286,845.40/x
  3. Step 3: Cross multiply
    356,829.40x = 535,244.10 × 286,845.40
  4. Step 4: Simplify right side
    356,829.40x = 153,532,307,962.14
  5. Step 5: Solve for x
    x = 153,532,307,962.14/356,829.40
  6. Step 6: Final answer
    x = 430,268.10

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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.