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Finding the Fourth Proportional to 316,307.62, 474,461.05 and 103,075.20

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Solution

The fourth proportional to 316,307.62, 474,461.05 and 103,075.20 is: 154,612.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,307.62 : 474,461.05 = 103,075.20 : x
  2. Step 2: Convert to fraction form
    316,307.62/474,461.05 = 103,075.20/x
  3. Step 3: Cross multiply
    316,307.62x = 474,461.05 × 103,075.20
  4. Step 4: Simplify right side
    316,307.62x = 48,905,165,627.38
  5. Step 5: Solve for x
    x = 48,905,165,627.38/316,307.62
  6. Step 6: Final answer
    x = 154,612.67

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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.