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Finding the Fourth Proportional to 472,154.64, 651,573.45 and 257,294.67

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Solution

The fourth proportional to 472,154.64, 651,573.45 and 257,294.67 is: 355,066.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,154.64 : 651,573.45 = 257,294.67 : x
  2. Step 2: Convert to fraction form
    472,154.64/651,573.45 = 257,294.67/x
  3. Step 3: Cross multiply
    472,154.64x = 651,573.45 × 257,294.67
  4. Step 4: Simplify right side
    472,154.64x = 167,646,375,798.51
  5. Step 5: Solve for x
    x = 167,646,375,798.51/472,154.64
  6. Step 6: Final answer
    x = 355,066.67

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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.