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Finding the Fourth Proportional to 709,031.53, 978,466.58 and 386,748.55

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Solution

The fourth proportional to 709,031.53, 978,466.58 and 386,748.55 is: 533,714.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,031.53 : 978,466.58 = 386,748.55 : x
  2. Step 2: Convert to fraction form
    709,031.53/978,466.58 = 386,748.55/x
  3. Step 3: Cross multiply
    709,031.53x = 978,466.58 × 386,748.55
  4. Step 4: Simplify right side
    709,031.53x = 378,420,531,038.46
  5. Step 5: Solve for x
    x = 378,420,531,038.46/709,031.53
  6. Step 6: Final answer
    x = 533,714.67

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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.