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Finding the Fourth Proportional to 610,673.42, 842,706.51 and 342,384.14

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Solution

The fourth proportional to 610,673.42, 842,706.51 and 342,384.14 is: 472,477.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,673.42 : 842,706.51 = 342,384.14 : x
  2. Step 2: Convert to fraction form
    610,673.42/842,706.51 = 342,384.14/x
  3. Step 3: Cross multiply
    610,673.42x = 842,706.51 × 342,384.14
  4. Step 4: Simplify right side
    610,673.42x = 288,529,343,698.75
  5. Step 5: Solve for x
    x = 288,529,343,698.75/610,673.42
  6. Step 6: Final answer
    x = 472,477.32

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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.