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Finding the Fourth Proportional to 497,911, 687,114.02 and 283,051.06

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Solution

The fourth proportional to 497,911, 687,114.02 and 283,051.06 is: 390,608.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,911 : 687,114.02 = 283,051.06 : x
  2. Step 2: Convert to fraction form
    497,911/687,114.02 = 283,051.06/x
  3. Step 3: Cross multiply
    497,911x = 687,114.02 × 283,051.06
  4. Step 4: Simplify right side
    497,911x = 194,488,351,701.86
  5. Step 5: Solve for x
    x = 194,488,351,701.86/497,911
  6. Step 6: Final answer
    x = 390,608.67

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1.5x scale

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.