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Finding the Fourth Proportional to 559,346.04, 771,840 and 314,291.88

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Solution

The fourth proportional to 559,346.04, 771,840 and 314,291.88 is: 433,690.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,346.04 : 771,840 = 314,291.88 : x
  2. Step 2: Convert to fraction form
    559,346.04/771,840 = 314,291.88/x
  3. Step 3: Cross multiply
    559,346.04x = 771,840 × 314,291.88
  4. Step 4: Simplify right side
    559,346.04x = 242,583,044,659.20
  5. Step 5: Solve for x
    x = 242,583,044,659.20/559,346.04
  6. Step 6: Final answer
    x = 433,690.47

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Why These Related Problems?

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