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Finding the Fourth Proportional to 497,008.40, 744,929.40 and 212,698.40

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Solution

The fourth proportional to 497,008.40, 744,929.40 and 212,698.40 is: 318,798.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,008.40 : 744,929.40 = 212,698.40 : x
  2. Step 2: Convert to fraction form
    497,008.40/744,929.40 = 212,698.40/x
  3. Step 3: Cross multiply
    497,008.40x = 744,929.40 × 212,698.40
  4. Step 4: Simplify right side
    497,008.40x = 158,445,291,492.96
  5. Step 5: Solve for x
    x = 158,445,291,492.96/497,008.40
  6. Step 6: Final answer
    x = 318,798.02

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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.