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Finding the Fourth Proportional to 390,438, 538,804.80 and 211,590

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Solution

The fourth proportional to 390,438, 538,804.80 and 211,590 is: 291,994.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,438 : 538,804.80 = 211,590 : x
  2. Step 2: Convert to fraction form
    390,438/538,804.80 = 211,590/x
  3. Step 3: Cross multiply
    390,438x = 538,804.80 × 211,590
  4. Step 4: Simplify right side
    390,438x = 114,005,707,632.00
  5. Step 5: Solve for x
    x = 114,005,707,632.00/390,438
  6. Step 6: Final answer
    x = 291,994.40

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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.