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Finding the Fourth Proportional to 315,678.66, 435,779.98 and 201,114.42

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Solution

The fourth proportional to 315,678.66, 435,779.98 and 201,114.42 is: 277,629.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,678.66 : 435,779.98 = 201,114.42 : x
  2. Step 2: Convert to fraction form
    315,678.66/435,779.98 = 201,114.42/x
  3. Step 3: Cross multiply
    315,678.66x = 435,779.98 × 201,114.42
  4. Step 4: Simplify right side
    315,678.66x = 87,641,637,925.31
  5. Step 5: Solve for x
    x = 87,641,637,925.31/315,678.66
  6. Step 6: Final answer
    x = 277,629.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.