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Finding the Fourth Proportional to 714,205.89, 985,603.59 and 408,289.01

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Solution

The fourth proportional to 714,205.89, 985,603.59 and 408,289.01 is: 563,438.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,205.89 : 985,603.59 = 408,289.01 : x
  2. Step 2: Convert to fraction form
    714,205.89/985,603.59 = 408,289.01/x
  3. Step 3: Cross multiply
    714,205.89x = 985,603.59 × 408,289.01
  4. Step 4: Simplify right side
    714,205.89x = 402,411,109,085.53
  5. Step 5: Solve for x
    x = 402,411,109,085.53/714,205.89
  6. Step 6: Final answer
    x = 563,438.52

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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.