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Finding the Fourth Proportional to 264,816.72, 365,564.88 and 157,421.52

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Solution

The fourth proportional to 264,816.72, 365,564.88 and 157,421.52 is: 217,311.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,816.72 : 365,564.88 = 157,421.52 : x
  2. Step 2: Convert to fraction form
    264,816.72/365,564.88 = 157,421.52/x
  3. Step 3: Cross multiply
    264,816.72x = 365,564.88 × 157,421.52
  4. Step 4: Simplify right side
    264,816.72x = 57,547,779,068.22
  5. Step 5: Solve for x
    x = 57,547,779,068.22/264,816.72
  6. Step 6: Final answer
    x = 217,311.73

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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.