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Finding the Fourth Proportional to 286,664.70, 430,083.45 and 153,608.70

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Solution

The fourth proportional to 286,664.70, 430,083.45 and 153,608.70 is: 230,459.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,664.70 : 430,083.45 = 153,608.70 : x
  2. Step 2: Convert to fraction form
    286,664.70/430,083.45 = 153,608.70/x
  3. Step 3: Cross multiply
    286,664.70x = 430,083.45 × 153,608.70
  4. Step 4: Simplify right side
    286,664.70x = 66,064,559,646.02
  5. Step 5: Solve for x
    x = 66,064,559,646.02/286,664.70
  6. Step 6: Final answer
    x = 230,459.35

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1.5x scale

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.