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Finding the Fourth Proportional to 706,165.20, 1,059,701.40 and 390,848.40

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Solution

The fourth proportional to 706,165.20, 1,059,701.40 and 390,848.40 is: 586,523.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,165.20 : 1,059,701.40 = 390,848.40 : x
  2. Step 2: Convert to fraction form
    706,165.20/1,059,701.40 = 390,848.40/x
  3. Step 3: Cross multiply
    706,165.20x = 1,059,701.40 × 390,848.40
  4. Step 4: Simplify right side
    706,165.20x = 414,182,596,667.76
  5. Step 5: Solve for x
    x = 414,182,596,667.76/706,165.20
  6. Step 6: Final answer
    x = 586,523.66

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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.