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Finding the Fourth Proportional to 562,545, 776,312.10 and 307,896.19

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Solution

The fourth proportional to 562,545, 776,312.10 and 307,896.19 is: 424,896.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,545 : 776,312.10 = 307,896.19 : x
  2. Step 2: Convert to fraction form
    562,545/776,312.10 = 307,896.19/x
  3. Step 3: Cross multiply
    562,545x = 776,312.10 × 307,896.19
  4. Step 4: Simplify right side
    562,545x = 239,023,535,900.12
  5. Step 5: Solve for x
    x = 239,023,535,900.12/562,545
  6. Step 6: Final answer
    x = 424,896.74

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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.