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Finding the Fourth Proportional to 562,395.42, 776,105.73 and 307,746.63

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Solution

The fourth proportional to 562,395.42, 776,105.73 and 307,746.63 is: 424,690.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,395.42 : 776,105.73 = 307,746.63 : x
  2. Step 2: Convert to fraction form
    562,395.42/776,105.73 = 307,746.63/x
  3. Step 3: Cross multiply
    562,395.42x = 776,105.73 × 307,746.63
  4. Step 4: Simplify right side
    562,395.42x = 238,843,922,931.19
  5. Step 5: Solve for x
    x = 238,843,922,931.19/562,395.42
  6. Step 6: Final answer
    x = 424,690.38

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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.