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Finding the Fourth Proportional to 390,051.30, 546,809.10 and 390,051.30

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Solution

The fourth proportional to 390,051.30, 546,809.10 and 390,051.30 is: 546,809.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,051.30 : 546,809.10 = 390,051.30 : x
  2. Step 2: Convert to fraction form
    390,051.30/546,809.10 = 390,051.30/x
  3. Step 3: Cross multiply
    390,051.30x = 546,809.10 × 390,051.30
  4. Step 4: Simplify right side
    390,051.30x = 213,283,600,306.83
  5. Step 5: Solve for x
    x = 213,283,600,306.83/390,051.30
  6. Step 6: Final answer
    x = 546,809.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.