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Finding the Fourth Proportional to 419,000.64, 623,762.64 and 416,510.16

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Solution

The fourth proportional to 419,000.64, 623,762.64 and 416,510.16 is: 620,055.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,000.64 : 623,762.64 = 416,510.16 : x
  2. Step 2: Convert to fraction form
    419,000.64/623,762.64 = 416,510.16/x
  3. Step 3: Cross multiply
    419,000.64x = 623,762.64 × 416,510.16
  4. Step 4: Simplify right side
    419,000.64x = 259,803,476,988.42
  5. Step 5: Solve for x
    x = 259,803,476,988.42/419,000.64
  6. Step 6: Final answer
    x = 620,055.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.