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Finding the Fourth Proportional to 506,108.32, 697,952.10 and 324,875.68

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Solution

The fourth proportional to 506,108.32, 697,952.10 and 324,875.68 is: 448,022.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,108.32 : 697,952.10 = 324,875.68 : x
  2. Step 2: Convert to fraction form
    506,108.32/697,952.10 = 324,875.68/x
  3. Step 3: Cross multiply
    506,108.32x = 697,952.10 × 324,875.68
  4. Step 4: Simplify right side
    506,108.32x = 226,747,663,094.93
  5. Step 5: Solve for x
    x = 226,747,663,094.93/506,108.32
  6. Step 6: Final answer
    x = 448,022.00

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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.