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Finding the Fourth Proportional to 409,701.51, 565,386.08 and 228,411.63

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Solution

The fourth proportional to 409,701.51, 565,386.08 and 228,411.63 is: 315,206.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,701.51 : 565,386.08 = 228,411.63 : x
  2. Step 2: Convert to fraction form
    409,701.51/565,386.08 = 228,411.63/x
  3. Step 3: Cross multiply
    409,701.51x = 565,386.08 × 228,411.63
  4. Step 4: Simplify right side
    409,701.51x = 129,140,754,970.05
  5. Step 5: Solve for x
    x = 129,140,754,970.05/409,701.51
  6. Step 6: Final answer
    x = 315,206.93

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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.