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Finding the Fourth Proportional to 346,413.84, 519,562.20 and 97,038.48

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Solution

The fourth proportional to 346,413.84, 519,562.20 and 97,038.48 is: 145,541.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,413.84 : 519,562.20 = 97,038.48 : x
  2. Step 2: Convert to fraction form
    346,413.84/519,562.20 = 97,038.48/x
  3. Step 3: Cross multiply
    346,413.84x = 519,562.20 × 97,038.48
  4. Step 4: Simplify right side
    346,413.84x = 50,417,526,153.46
  5. Step 5: Solve for x
    x = 50,417,526,153.46/346,413.84
  6. Step 6: Final answer
    x = 145,541.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.