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Finding the Fourth Proportional to 429,417.48, 592,489.14 and 257,362.68

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Solution

The fourth proportional to 429,417.48, 592,489.14 and 257,362.68 is: 355,096.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,417.48 : 592,489.14 = 257,362.68 : x
  2. Step 2: Convert to fraction form
    429,417.48/592,489.14 = 257,362.68/x
  3. Step 3: Cross multiply
    429,417.48x = 592,489.14 × 257,362.68
  4. Step 4: Simplify right side
    429,417.48x = 152,484,592,941.30
  5. Step 5: Solve for x
    x = 152,484,592,941.30/429,417.48
  6. Step 6: Final answer
    x = 355,096.38

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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.