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Finding the Fourth Proportional to 328,036.90, 492,055.35 and 286,564.90

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Solution

The fourth proportional to 328,036.90, 492,055.35 and 286,564.90 is: 429,847.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,036.90 : 492,055.35 = 286,564.90 : x
  2. Step 2: Convert to fraction form
    328,036.90/492,055.35 = 286,564.90/x
  3. Step 3: Cross multiply
    328,036.90x = 492,055.35 × 286,564.90
  4. Step 4: Simplify right side
    328,036.90x = 141,005,792,167.22
  5. Step 5: Solve for x
    x = 141,005,792,167.22/328,036.90
  6. Step 6: Final answer
    x = 429,847.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.